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

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


x in (-oo:+oo)

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

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

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

x^2-9/4*x-7 = 0

DELTA = (-9/4)^2-(-7*1*4)

DELTA = 529/16

DELTA > 0

x = ((529/16)^(1/2)+9/4)/(1*2) or x = (9/4-(529/16)^(1/2))/(1*2)

x = 4 or x = -7/4

x in { -7/4, 4 }

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