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

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


x in (-oo:+oo)

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

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

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

x^2-2*x-7-1 = 0

x^2-2*x-8 = 0

x^2-2*x-8 = 0

x^2-2*x-8 = 0

DELTA = (-2)^2-(-8*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)+2)/(1*2) or x = (2-36^(1/2))/(1*2)

x = 4 or x = -2

(x+2)*(x-4) = 0

((x+2)*(x-4))/4 = 0

((x+2)*(x-4))/4 = 0 // * 4

(x+2)*(x-4) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -2, 4 }

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