1/3(x+2)2-5=22

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Solution for 1/3(x+2)2-5=22 equation: 


x in (-oo:+oo)

(1/3)*(x+2)^2-5 = 22 // - 22

(1/3)*(x+2)^2-22-5 = 0

1/3*(x+2)^2-22-5 = 0

1/3*(x+2)^2-22-5 = 0

1/3*x^2+4/3*x-62/3-5 = 0

1/3*x^2+4/3*x-77/3 = 0

1/3*x^2+4/3*x-77/3 = 0

1/3*(x^2+4*x-77) = 0

x^2+4*x-77 = 0

DELTA = 4^2-(-77*1*4)

DELTA = 324

DELTA > 0

x = (324^(1/2)-4)/(1*2) or x = (-324^(1/2)-4)/(1*2)

x = 7 or x = -11

1/3*(x+11)*(x-7) = 0

1/3*(x+11)*(x-7) = 0

( x+11 )

x+11 = 0 // - 11

x = -11

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -11, 7 }

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