1/2((x)(x-5))=88

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Solution for 1/2((x)(x-5))=88 equation: 


x in (-oo:+oo)

(1/2)*x*(x-5) = 88 // - 88

(1/2)*x*(x-5)-88 = 0

1/2*x*(x-5)-88 = 0

1/2*x*(x-5)-88 = 0

1/2*x^2-5/2*x-88 = 0

1/2*x^2-5/2*x-88 = 0

1/2*x^2-5/2*x-88 = 0

DELTA = (-5/2)^2-(-88*1/2*4)

DELTA = 729/4

DELTA > 0

x = ((729/4)^(1/2)+5/2)/(1/2*2) or x = (5/2-(729/4)^(1/2))/(1/2*2)

x = 16 or x = -11

(x+11)*(x-16) = 0

(x+11)*(x-16) = 0

( x+11 )

x+11 = 0 // - 11

x = -11

( x-16 )

x-16 = 0 // + 16

x = 16

x in { -11, 16 }

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