1/4(x-6)^2=7

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Solution for 1/4(x-6)^2=7 equation: 


x in (-oo:+oo)

(1/4)*(x-6)^2 = 7 // - 7

(1/4)*(x-6)^2-7 = 0

1/4*(x-6)^2-7 = 0

1/4*(x-6)^2-7 = 0

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

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

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

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

DELTA = 7

DELTA > 0

x = (7^(1/2)+3)/(1/4*2) or x = (3-7^(1/2))/(1/4*2)

x = 2*(7^(1/2)+3) or x = 2*(3-7^(1/2))

(x-2*(3-7^(1/2)))*(x-2*(7^(1/2)+3)) = 0

(x-2*(3-7^(1/2)))*(x-2*(7^(1/2)+3)) = 0

( x-2*(3-7^(1/2)) )

x-2*(3-7^(1/2)) = 0 // + -2*(3-7^(1/2))

x = -(-2*(3-7^(1/2)))

x = 2*(3-7^(1/2))

( x-2*(7^(1/2)+3) )

x-2*(7^(1/2)+3) = 0 // + -2*(7^(1/2)+3)

x = -(-2*(7^(1/2)+3))

x = 2*(7^(1/2)+3)

x in { 2*(3-7^(1/2)), 2*(7^(1/2)+3) }

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