18=1/2(x)(x-5)

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Solution for 18=1/2(x)(x-5) equation: 


x in (-oo:+oo)

18 = (1/2)*x*(x-5) // - (1/2)*x*(x-5)

18-((1/2)*x*(x-5)) = 0

(-1/2)*x*(x-5)+18 = 0

18-1/2*x*(x-5) = 0

18-1/2*x*(x-5) = 0

5/2*x-1/2*x^2+18 = 0

5/2*x-1/2*x^2+18 = 0

5/2*x-1/2*x^2+18 = 0

DELTA = (5/2)^2-(-1/2*4*18)

DELTA = 169/4

DELTA > 0

x = ((169/4)^(1/2)-5/2)/(-1/2*2) or x = (-(169/4)^(1/2)-5/2)/(-1/2*2)

x = -4 or x = 9

(x+4)*(x-9) = 0

(x+4)*(x-9) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-9 )

x-9 = 0 // + 9

x = 9

x in { -4, 9 }

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