1/4(x-8)^2-1=6

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Solution for 1/4(x-8)^2-1=6 equation: 


x in (-oo:+oo)

(1/4)*(x-8)^2-1 = 6 // - 6

(1/4)*(x-8)^2-6-1 = 0

1/4*(x-8)^2-6-1 = 0

1/4*(x-8)^2-6-1 = 0

1/4*x^2-4*x-1+10 = 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-(1/4*4*9)

DELTA = 7

DELTA > 0

x = (7^(1/2)+4)/(1/4*2) or x = (4-7^(1/2))/(1/4*2)

x = 2*(7^(1/2)+4) or x = 2*(4-7^(1/2))

(x-2*(4-7^(1/2)))*(x-2*(7^(1/2)+4)) = 0

(x-2*(4-7^(1/2)))*(x-2*(7^(1/2)+4)) = 0

( x-2*(4-7^(1/2)) )

x-2*(4-7^(1/2)) = 0 // + -2*(4-7^(1/2))

x = -(-2*(4-7^(1/2)))

x = 2*(4-7^(1/2))

( x-2*(7^(1/2)+4) )

x-2*(7^(1/2)+4) = 0 // + -2*(7^(1/2)+4)

x = -(-2*(7^(1/2)+4))

x = 2*(7^(1/2)+4)

x in { 2*(4-7^(1/2)), 2*(7^(1/2)+4) }

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