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

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


x in (-oo:+oo)

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

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

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

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

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

15-2*x^2-5*x = 0

15-2*x^2-5*x = 0

15-2*x^2-5*x = 0

DELTA = (-5)^2-(-2*4*15)

DELTA = 145

DELTA > 0

x = (145^(1/2)+5)/(-2*2) or x = (5-145^(1/2))/(-2*2)

x = (145^(1/2)+5)/(-4) or x = (5-145^(1/2))/(-4)

(x-((145^(1/2)+5)/(-4)))*(x-((5-145^(1/2))/(-4))) = 0

((x-((145^(1/2)+5)/(-4)))*(x-((5-145^(1/2))/(-4))))/2 = 0

((x-((145^(1/2)+5)/(-4)))*(x-((5-145^(1/2))/(-4))))/2 = 0 // * 2

(x-((145^(1/2)+5)/(-4)))*(x-((5-145^(1/2))/(-4))) = 0

( x-((145^(1/2)+5)/(-4)) )

x-((145^(1/2)+5)/(-4)) = 0 // + (145^(1/2)+5)/(-4)

x = (145^(1/2)+5)/(-4)

( x-((5-145^(1/2))/(-4)) )

x-((5-145^(1/2))/(-4)) = 0 // + (5-145^(1/2))/(-4)

x = (5-145^(1/2))/(-4)

x in { (145^(1/2)+5)/(-4), (5-145^(1/2))/(-4) }

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