(1/9x+6)^2=192

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Solution for (1/9x+6)^2=192 equation: 


x in (-oo:+oo)

((1/9)*x+6)^2 = 192 // - 192

((1/9)*x+6)^2-192 = 0

(1/9*x+6)^2-192 = 0

(1/9*x+6)^2-192 = 0

1/81*x^2+4/3*x-156 = 0

1/81*x^2+4/3*x-156 = 0

1/81*x^2+4/3*x-156 = 0

DELTA = (4/3)^2-(-156*1/81*4)

DELTA = 256/27

DELTA > 0

x = ((256/27)^(1/2)-4/3)/(1/81*2) or x = (-(256/27)^(1/2)-4/3)/(1/81*2)

x = 81/2*((256/27)^(1/2)-4/3) or x = -81/2*((256/27)^(1/2)+4/3)

(x+81/2*((256/27)^(1/2)+4/3))*(x-81/2*((256/27)^(1/2)-4/3)) = 0

(x+81/2*((256/27)^(1/2)+4/3))*(x-81/2*((256/27)^(1/2)-4/3)) = 0

( x+81/2*((256/27)^(1/2)+4/3) )

x+81/2*((256/27)^(1/2)+4/3) = 0 // - 81/2*((256/27)^(1/2)+4/3)

x = -(81/2*((256/27)^(1/2)+4/3))

x = -81/2*((256/27)^(1/2)+4/3)

( x-81/2*((256/27)^(1/2)-4/3) )

x-81/2*((256/27)^(1/2)-4/3) = 0 // + -81/2*((256/27)^(1/2)-4/3)

x = -(-81/2*((256/27)^(1/2)-4/3))

x = 81/2*((256/27)^(1/2)-4/3)

x in { -81/2*((256/27)^(1/2)+4/3), 81/2*((256/27)^(1/2)-4/3) }

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