1/4(3x-2)^2=20

Simple and best practice solution for 1/4(3x-2)^2=20 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 1/4(3x-2)^2=20 equation: 


x in (-oo:+oo)

(1/4)*(3*x-2)^2 = 20 // - 20

(1/4)*(3*x-2)^2-20 = 0

1/4*(3*x-2)^2-20 = 0

1/4*(3*x-2)^2-20 = 0

9/4*x^2-3*x-19 = 0

9/4*x^2-3*x-19 = 0

9/4*x^2-3*x-19 = 0

DELTA = (-3)^2-(-19*9/4*4)

DELTA = 180

DELTA > 0

x = (180^(1/2)+3)/(2*9/4) or x = (3-180^(1/2))/(2*9/4)

x = 2/9*(6*5^(1/2)+3) or x = 2/9*(3-6*5^(1/2))

(x-2/9*(3-6*5^(1/2)))*(x-2/9*(6*5^(1/2)+3)) = 0

(x-2/9*(3-6*5^(1/2)))*(x-2/9*(6*5^(1/2)+3)) = 0

( x-2/9*(3-6*5^(1/2)) )

x-2/9*(3-6*5^(1/2)) = 0 // + -2/9*(3-6*5^(1/2))

x = -(-2/9*(3-6*5^(1/2)))

x = 2/9*(3-6*5^(1/2))

( x-2/9*(6*5^(1/2)+3) )

x-2/9*(6*5^(1/2)+3) = 0 // + -2/9*(6*5^(1/2)+3)

x = -(-2/9*(6*5^(1/2)+3))

x = 2/9*(6*5^(1/2)+3)

x in { 2/9*(3-6*5^(1/2)), 2/9*(6*5^(1/2)+3) }

See similar equations:

| 15c^3+6w=0 | | x^3-6x+16x=96 | | sinx+2=3 | | 27/36 | | (4x-9)(5x-5)= | | (x/5)=20 | | z^2-2z+35=0 | | 2x^2-19x=-5x^2-6x-6 | | 10x-17=3x | | 90=60+14Q+2Q^2 | | 2x-45=76 | | 3x/2-2x/3-2=1-1/3 | | 3r+2(r+7)=3(r+2) | | 60=3y+9 | | 15c^3+6w= | | 8-8/13 | | 7x+9=3(5x+7) | | 7x^2+3x-17=47-45x | | 6x-10y=-58 | | x/-4=-5-(-6) | | 14y=17 | | n/20=1 | | 6x-10y=58 | | 9x=10-(-17) | | y=3sen*2x | | x(5x-3)=36 | | 7e-4=4e+8 | | 0=-4x^2-24x | | 3x^2+10+6=0 | | -4n+16=-2n-10 | | y=3ax-8x | | 5y+1=3y+7 |

Equations solver categories