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- La ecuación:
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Ecuación 8*x=2
-
Ecuación 3^x=81
-
Ecuación 5x+15=x-1
-
Ecuación x^2=12
- Expresar {x} en función de y en la ecuación:
- 4*x-1*y=-3
- -11*x+9*y=-20
- 9*x+17*y=13
- -17*x+2*y=9
-
Expresiones idénticas
- (dos cos^2x- uno)*sqrt(2x-x^2)= cero
- (2 coseno de al cuadrado x menos 1) multiplicar por raíz cuadrada de (2x menos x al cuadrado ) es igual a 0
- (dos coseno de al cuadrado x menos uno) multiplicar por raíz cuadrada de (2x menos x al cuadrado ) es igual a cero
- (2cos^2x-1)*√(2x-x^2)=0
- (2cos2x-1)*sqrt(2x-x2)=0
- 2cos2x-1*sqrt2x-x2=0
- (2cos²x-1)*sqrt(2x-x²)=0
- (2cos en el grado 2x-1)*sqrt(2x-x en el grado 2)=0
- (2cos^2x-1)sqrt(2x-x^2)=0
- (2cos2x-1)sqrt(2x-x2)=0
- 2cos2x-1sqrt2x-x2=0
- 2cos^2x-1sqrt2x-x^2=0
- (2cos^2x-1)*sqrt(2x-x^2)=O
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Expresiones semejantes
- (2cos^2x-1)*sqrt(2x+x^2)=0
- (2cos^2x+1)*sqrt(2x-x^2)=0
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Expresiones con funciones
- Raíz cuadrada sqrt
- sqrt(56-x)=-x
- sqrt(x-2)+sqrt(4-x)=sqrt(6-x)
- sqrt(4+2x−x^2)=x−2.
- sqrt(6*x-8)=sqrt(3*x+3)
- sqrt(sqrt(3)cos(x)+sin(x)+2)=sin(3x)+1
(2cos^2x-1)*sqrt(2x-x^2)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
__________ / 2 \ / 2 \2*cos (x) - 1/*\/ 2*x - x = 0
$$\sqrt{- x^{2} + 2 x} \left(2 \cos^{2}{\left(x \right)} - 1\right) = 0$$
Respuesta rápida
[src]
x1 = 0
$$x_{1} = 0$$
x2 = 2
$$x_{2} = 2$$
pi
x3 = --
4
$$x_{3} = \frac{\pi}{4}$$
3*pi
x4 = ----
4
$$x_{4} = \frac{3 \pi}{4}$$
5*pi
x5 = ----
4
$$x_{5} = \frac{5 \pi}{4}$$
7*pi
x6 = ----
4
$$x_{6} = \frac{7 \pi}{4}$$
x6 = 7*pi/4
Suma y producto de raíces
[src]
suma
pi 3*pi 5*pi 7*pi
2 + -- + ---- + ---- + ----
4 4 4 4
$$\frac{7 \pi}{4} + \left(\frac{5 \pi}{4} + \left(\frac{3 \pi}{4} + \left(\frac{\pi}{4} + 2\right)\right)\right)$$
=
2 + 4*pi
$$2 + 4 \pi$$
producto
pi 3*pi 5*pi 7*pi
0*2*--*----*----*----
4 4 4 4
$$\frac{7 \pi}{4} \frac{5 \pi}{4} \frac{3 \pi}{4} \cdot 0 \cdot 2 \frac{\pi}{4}$$
=
0
$$0$$
0
Respuesta numérica
[src]
x1 = 25.9181393921158
x2 = -57.3340659280137
x3 = -79.3252145031423
x4 = -99.7455667514759
x5 = 74.6128255227576
x6 = 0.0
x7 = -54.1924732744239
x8 = -90.3207887907066
x9 = 18.0641577581413
x10 = 82.4668071567321
x11 = 38.484510006475
x12 = 46.3384916404494
x13 = -77.7544181763474
x14 = -76.1836218495525
x15 = -5.49778714378214
x16 = -38.484510006475
x17 = 76.1836218495525
x18 = 54.1924732744239
x19 = 55.7632696012188
x20 = 27.4889357189107
x21 = 5.49778714378214
x22 = 84.037603483527
x23 = 33.7721210260903
x24 = -62.0464549083984
x25 = 91.8915851175014
x26 = 63.6172512351933
x27 = -85.6083998103219
x28 = 85.6083998103219
x29 = -33.7721210260903
x30 = 10.2101761241668
x31 = 8.63937979737193
x32 = -19.6349540849362
x33 = -69.9004365423729
x34 = -13.3517687777566
x35 = -32.2013246992954
x36 = 96.6039740978861
x37 = -40.0553063332699
x38 = 88.7499924639117
x39 = -35.3429173528852
x40 = -10.2101761241668
x41 = -82.4668071567321
x42 = -60.4756585816035
x43 = 98.174770424681
x44 = 49.4800842940392
x45 = 11.7809724509617
x46 = 90.3207887907066
x47 = -25.9181393921158
x48 = 68.329640215578
x49 = -24.3473430653209
x50 = 43.1968989868597
x51 = 16.4933614313464
x52 = 3.92699081698724
x53 = -80.8960108299372
x54 = -46.3384916404494
x55 = -98.174770424681
x56 = -41.6261026600648
x57 = -47.9092879672443
x58 = -93.4623814442964
x59 = -2.35619449019234
x60 = 41.6261026600648
x61 = -55.7632696012188
x62 = 24.3473430653209
x63 = -27.4889357189107
x64 = -91.8915851175014
x65 = -84.037603483527
x66 = 40.0553063332699
x67 = 30.6305283725005
x68 = -11.7809724509617
x69 = 2.0
x70 = -63.6172512351933
x71 = 52.621676947629
x72 = -71.4712328691678
x73 = -3.92699081698724
x74 = 32.2013246992954
x75 = -49.4800842940392
x76 = -16.4933614313464
x77 = 77.7544181763474
x78 = -0.785398163397448
x79 = 60.4756585816035
x80 = 47.9092879672443
x81 = 69.9004365423729
x82 = -68.329640215578
x83 = 62.0464549083984
x84 = 99.7455667514759
x85 = 66.7588438887831
x86 = 19.6349540849362
x87 = -18.0641577581413
x87 = -18.0641577581413