x^2+9/16x=100

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Solution for x^2+9/16x=100 equation: 


x in (-oo:+oo)

x^2+(9/16)*x = 100 // - 100

x^2+(9/16)*x-100 = 0

x^2+9/16*x-100 = 0

DELTA = (9/16)^2-(-100*1*4)

DELTA = 102481/256

DELTA > 0

x = ((102481/256)^(1/2)-9/16)/(1*2) or x = (-(102481/256)^(1/2)-9/16)/(1*2)

x = ((102481/256)^(1/2)-9/16)/2 or x = (-((102481/256)^(1/2)+9/16))/2

x in { (-((102481/256)^(1/2)+9/16))/2, ((102481/256)^(1/2)-9/16)/2 }

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