Sr Examen
Otras calculadoras
- Sistemas de desigualdades paso a paso
- Ecuaciones básicas paso a paso
- Sistemas de ecuaciones paso a paso
- Solución de desigualdades trigonométricas en línea
- Resolución de desigualdades exponenciales en línea
- Resolución de desigualdades con un módulo en línea
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¿Cómo usar?
- Desigualdades:
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(x+8)(x-5)>0
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(x+8)*(x-5)>0
- (x-7)^2<sqrt11(x-7)
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x^2-4*x+3>0
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Expresiones idénticas
- log(x^ dos +x,x^ dos - dos x+ uno)<=2
- logaritmo de (x al cuadrado más x,x al cuadrado menos 2x más 1) menos o igual a 2
- logaritmo de (x en el grado dos más x,x en el grado dos menos dos x más uno) menos o igual a 2
- log(x2+x,x2-2x+1)<=2
- logx2+x,x2-2x+1<=2
- log(x²+x,x²-2x+1)<=2
- log(x en el grado 2+x,x en el grado 2-2x+1)<=2
- logx^2+x,x^2-2x+1<=2
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Expresiones semejantes
- log(x^2+x,x^2+2x+1)<=2
- log(x^2+x,x^2-2x-1)<=2
- log(x^2-x,x^2-2x+1)<=2
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Expresiones con funciones
- Logaritmo log
- log(x,sqrt(x^2+x-2)+1)*log(7,x*x+x+1)<=log(x,3)
- log(x+7)((3-x):(x+1))<=log(x+7)((x+1):(x-3))
- log(x)/log(5)<1
- log(x)*log(3)<=11-x
- log(x-3)/log(5)<=log(12-2*x)/log(5)
log(x^2+x,x^2-2x+1)<=2 desigualdades
Solución
Ha introducido
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/ 2 \ log\x + x/ ----------------- <= 2 / 2 \ log\x - 2*x + 1/
$$\frac{\log{\left(x^{2} + x \right)}}{\log{\left(\left(x^{2} - 2 x\right) + 1 \right)}} \leq 2$$
log(x^2 + x)/log(x^2 - 2*x + 1) <= 2
Solución de la desigualdad en el gráfico
Respuesta rápida 2
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__________________________________________________________________________________________________________________ __________________________________________________________________________________________________________________
/ ________________ ___ 3 ___ / ________________ ___ 3 ___
___ / 2/3 3 / _____ 36*\/ 6 46*\/ 2 ___ / 2/3 3 / _____ 36*\/ 6 46*\/ 2
\/ 6 * / 8 - 2 *\/ 97 + 9*\/ 717 + ----------------------------------------------------------- + ------------------- \/ 6 * / 8 - 2 *\/ 97 + 9*\/ 717 + ----------------------------------------------------------- + -------------------
/ ____________________________________________________ ________________ ____________________________________________________ ____________________________________________________ / ____________________________________________________ ________________
/ / ________________ 3 ___ 3 / _____ / ________________ 3 ___ / ________________ 3 ___ / / ________________ 3 ___ 3 / _____
/ / 2/3 3 / _____ 46*\/ 2 \/ 97 + 9*\/ 717 ___ / 2/3 3 / _____ 46*\/ 2 ___ / 2/3 3 / _____ 46*\/ 2 / / 2/3 3 / _____ 46*\/ 2 \/ 97 + 9*\/ 717
/ / 4 + 2 *\/ 97 + 9*\/ 717 - ------------------- \/ 6 * / 4 + 2 *\/ 97 + 9*\/ 717 - ------------------- \/ 6 * / 4 + 2 *\/ 97 + 9*\/ 717 - ------------------- / / 4 + 2 *\/ 97 + 9*\/ 717 - -------------------
/ / ________________ / ________________ / ________________ / / ________________
/ / 3 / _____ / 3 / _____ / 3 / _____ / / 3 / _____
\/ \/ \/ 97 + 9*\/ 717 \/ \/ 97 + 9*\/ 717 \/ \/ 97 + 9*\/ 717 \/ \/ \/ 97 + 9*\/ 717
(-oo, -1) U [1 - ----------------------------------------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------, 2) U [1 + ----------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------, oo)
12 12 12 12
$$x\ in\ \left(-\infty, -1\right) \cup \left[- \frac{\sqrt{6} \sqrt{- 2^{\frac{2}{3}} \sqrt[3]{97 + 9 \sqrt{717}} + 8 + \frac{46 \sqrt[3]{2}}{\sqrt[3]{97 + 9 \sqrt{717}}} + \frac{36 \sqrt{6}}{\sqrt{- \frac{46 \sqrt[3]{2}}{\sqrt[3]{97 + 9 \sqrt{717}}} + 4 + 2^{\frac{2}{3}} \sqrt[3]{97 + 9 \sqrt{717}}}}}}{12} + \frac{\sqrt{6} \sqrt{- \frac{46 \sqrt[3]{2}}{\sqrt[3]{97 + 9 \sqrt{717}}} + 4 + 2^{\frac{2}{3}} \sqrt[3]{97 + 9 \sqrt{717}}}}{12} + 1, 2\right) \cup \left[\frac{\sqrt{6} \sqrt{- \frac{46 \sqrt[3]{2}}{\sqrt[3]{97 + 9 \sqrt{717}}} + 4 + 2^{\frac{2}{3}} \sqrt[3]{97 + 9 \sqrt{717}}}}{12} + 1 + \frac{\sqrt{6} \sqrt{- 2^{\frac{2}{3}} \sqrt[3]{97 + 9 \sqrt{717}} + 8 + \frac{46 \sqrt[3]{2}}{\sqrt[3]{97 + 9 \sqrt{717}}} + \frac{36 \sqrt{6}}{\sqrt{- \frac{46 \sqrt[3]{2}}{\sqrt[3]{97 + 9 \sqrt{717}}} + 4 + 2^{\frac{2}{3}} \sqrt[3]{97 + 9 \sqrt{717}}}}}}{12}, \infty\right)$$
x in Union(Interval.open(-oo, -1), Interval(sqrt(6)*sqrt(-46*2^(1/3)/(97 + 9*sqrt(717))^(1/3) + 4 + 2^(2/3)*(97 + 9*sqrt(717))^(1/3))/12 + 1 + sqrt(6)*sqrt(-2^(2/3)*(97 + 9*sqrt(717))^(1/3) + 8 + 46*2^(1/3)/(97 + 9*sqrt(717))^(1/3) + 36*sqrt(6)/sqrt(-46*2^(1/3)/(97 + 9*sqrt(717))^(1/3) + 4 + 2^(2/3)*(97 + 9*sqrt(717))^(1/3)))/12, oo), Interval.Ropen(-sqrt(6)*sqrt(-2^(2/3)*(97 + 9*sqrt(717))^(1/3) + 8 + 46*2^(1/3)/(97 + 9*sqrt(717))^(1/3) + 36*sqrt(6)/sqrt(-46*2^(1/3)/(97 + 9*sqrt(717))^(1/3) + 4 + 2^(2/3)*(97 + 9*sqrt(717))^(1/3)))/12 + sqrt(6)*sqrt(-46*2^(1/3)/(97 + 9*sqrt(717))^(1/3) + 4 + 2^(2/3)*(97 + 9*sqrt(717))^(1/3))/12 + 1, 2))
Respuesta rápida
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/ / _________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________ \\ | | / _______________ | | / _______________ || | | / / _____ | | / / _____ || | | / 4 / 97 \/ 717 6 23 | | / 4 / 97 \/ 717 6 23 || | | / - - 2*3 / --- + ------- + ---------------------------------------------------------------- + ----------------------- | | / - - 2*3 / --- + ------- + ---------------------------------------------------------------- + ----------------------- || | | ______________________________________________________ / 3 \/ 432 48 ______________________________________________________ _______________ | | ______________________________________________________ / 3 \/ 432 48 ______________________________________________________ _______________ || | | / _______________ / / _______________ / _____ | | / _______________ / / _______________ / _____ || | | / / _____ / / / _____ / 97 \/ 717 | | / / _____ / / / _____ / 97 \/ 717 || | | / 2 / 97 \/ 717 23 / / 2 / 97 \/ 717 23 18*3 / --- + ------- | | / 2 / 97 \/ 717 23 / / 2 / 97 \/ 717 23 18*3 / --- + ------- || | | / - + 2*3 / --- + ------- - ----------------------- / / - + 2*3 / --- + ------- - ----------------------- \/ 432 48 | | / - + 2*3 / --- + ------- - ----------------------- / / - + 2*3 / --- + ------- - ----------------------- \/ 432 48 || | | / 3 \/ 432 48 _______________ / / 3 \/ 432 48 _______________ | | / 3 \/ 432 48 _______________ / / 3 \/ 432 48 _______________ || | | / / _____ / / / _____ | | / / _____ / / / _____ || | | / / 97 \/ 717 / / / 97 \/ 717 | | / / 97 \/ 717 / / / 97 \/ 717 || | | / 18*3 / --- + ------- / / 18*3 / --- + ------- | | / 18*3 / --- + ------- / / 18*3 / --- + ------- || | | \/ \/ 432 48 \/ \/ \/ 432 48 | | \/ \/ 432 48 \/ \/ \/ 432 48 || Or|And(-oo < x, x < -1), And|1 + ---------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------- <= x, x < 2|, And|1 + ---------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------- <= x, x < oo|| \ \ 2 2 / \ 2 2 //
$$\left(-\infty < x \wedge x < -1\right) \vee \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}} + \frac{4}{3} + \frac{23}{18 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}} + \frac{6}{\sqrt{- \frac{23}{18 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}}}}}{2} + \frac{\sqrt{- \frac{23}{18 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}}}{2} + 1 \leq x \wedge x < 2\right) \vee \left(\frac{\sqrt{- \frac{23}{18 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}}}{2} + 1 + \frac{\sqrt{- 2 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}} + \frac{4}{3} + \frac{23}{18 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}} + \frac{6}{\sqrt{- \frac{23}{18 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}} + \frac{2}{3} + 2 \sqrt[3]{\frac{97}{432} + \frac{\sqrt{717}}{48}}}}}}{2} \leq x \wedge x < \infty\right)$$
((-oo < x)∧(x < -1))∨((x < 2)∧(1 + sqrt(2/3 + 2*(97/432 + sqrt(717)/48)^(1/3) - 23/(18*(97/432 + sqrt(717)/48)^(1/3)))/2 - sqrt(4/3 - 2*(97/432 + sqrt(717)/48)^(1/3) + 6/sqrt(2/3 + 2*(97/432 + sqrt(717)/48)^(1/3) - 23/(18*(97/432 + sqrt(717)/48)^(1/3))) + 23/(18*(97/432 + sqrt(717)/48)^(1/3)))/2 <= x))∨((x < oo)∧(1 + sqrt(2/3 + 2*(97/432 + sqrt(717)/48)^(1/3) - 23/(18*(97/432 + sqrt(717)/48)^(1/3)))/2 + sqrt(4/3 - 2*(97/432 + sqrt(717)/48)^(1/3) + 6/sqrt(2/3 + 2*(97/432 + sqrt(717)/48)^(1/3) - 23/(18*(97/432 + sqrt(717)/48)^(1/3))) + 23/(18*(97/432 + sqrt(717)/48)^(1/3)))/2 <= x))