x^2-((3/4)x)=5

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Solution for x^2-((3/4)x)=5 equation: 


x in (-oo:+oo)

x^2-((3/4)*x) = 5 // - 5

x^2-((3/4)*x)-5 = 0

x^2+(-3/4)*x-5 = 0

x^2-3/4*x-5 = 0

DELTA = (-3/4)^2-(-5*1*4)

DELTA = 329/16

DELTA > 0

x = ((329/16)^(1/2)+3/4)/(1*2) or x = (3/4-(329/16)^(1/2))/(1*2)

x = ((329/16)^(1/2)+3/4)/2 or x = (3/4-(329/16)^(1/2))/2

x in { (3/4-(329/16)^(1/2))/2, ((329/16)^(1/2)+3/4)/2 }

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