1/4(x-8)^2=25

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Solution for 1/4(x-8)^2=25 equation: 


x in (-oo:+oo)

(1/4)*(x-8)^2 = 25 // - 25

(1/4)*(x-8)^2-25 = 0

1/4*(x-8)^2-25 = 0

1/4*(x-8)^2-25 = 0

1/4*x^2-4*x-9 = 0

1/4*x^2-4*x-9 = 0

1/4*x^2-4*x-9 = 0

DELTA = (-4)^2-(-9*1/4*4)

DELTA = 25

DELTA > 0

x = (25^(1/2)+4)/(1/4*2) or x = (4-25^(1/2))/(1/4*2)

x = 18 or x = -2

(x+2)*(x-18) = 0

(x+2)*(x-18) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-18 )

x-18 = 0 // + 18

x = 18

x in { -2, 18 }

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