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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