(9x-2y)^1/3=x^2

Simple and best practice solution for (9x-2y)^1/3=x^2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (9x-2y)^1/3=x^2 equation: 


x in (-oo:+oo)

((9*x-(2*y))^1)/3 = x^2 // - x^2

((9*x-(2*y))^1)/3-x^2 = 0

(9*x-2*y)/3-x^2 = 0

(9*x-2*y)/3+(3*(-x^2))/3 = 0

3*(-x^2)+9*x-2*y = 0

9*x-3*x^2-2*y = 0

(9*x-3*x^2-2*y)/3 = 0

(9*x-3*x^2-2*y)/3 = 0 // * 3

9*x-3*x^2-2*y = 0

9*x-3*x^2-2*y = 0

DELTA = 9^2-(-3*(-2)*4*y)

DELTA = 81-24*y

81-24*y = 0

81-24*y = 0 // - 81

-24*y = -81 // : -24

y = -81/(-24)

y = 27/8

DELTA = 0  <=>  t_3 = 27/8

x = -9/(-3*2) i y = 27/8

x = 3/2 i y = 27/8

( x = ((81-24*y)^(1/2)-9)/(-3*2) or x = (-(81-24*y)^(1/2)-9)/(-3*2) ) i y > 27/8

( x = ((81-24*y)^(1/2)-9)/(-6) or x = ((81-24*y)^(1/2)+9)/6 ) i y > 27/8

y-27/8 > 0

y-27/8 > 0 // + 27/8

y > 27/8

x in { 3/2, ((81-24*y)^(1/2)-9)/(-6), ((81-24*y)^(1/2)+9)/6 }

See similar equations:

| 6-4x=3x^2-8x+3 | | -4(12-183x)=7-2(x-3) | | 3/10y=-1 | | 4x-4=8/3 | | 9-6x=3x^2-10x+3 | | B+11=400 | | X-7/2=x-6/7 | | 9-6x=3x-10x+3 | | -8w-9=-4+2w | | 6-4x=7x+-9x+12 | | 3m/4=3/14 | | 3x^2-10x=299/3 | | y=(36-2x)(12+.50x) | | Y/8=7/32 | | Y/8=7/33 | | -2(6q+3)= | | 3/5t=21 | | 2x-15=-60 | | 4(b+0.6)=4.8 | | 5/6x-13=2 | | 5.2b+4.6=7.72 | | 4t^2-25t+28=0 | | 3x+3y-2x-2= | | (2x-6)(9x+1)=0 | | 5x^4+2x^3=10x^7 | | x^2-3x=1.8 | | 9y^2+z^2=16 | | 4x+x+3x+8x= | | 3(2x-6)=2(6x-3) | | An=xy | | -144/=-16 | | 3.67-6.7x+1.11=22.2 |

Equations solver categories