(126-10x)/2=(2x^2)/2

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Solution for (126-10x)/2=(2x^2)/2 equation: 


x in (-oo:+oo)

(126-(10*x))/2 = (2*x^2)/2 // - (2*x^2)/2

(126-(10*x))/2-((2*x^2)/2) = 0

(126-10*x)/2-x^2 = 0

(126-10*x)/2+(2*(-x^2))/2 = 0

2*(-x^2)-10*x+126 = 0

126-2*x^2-10*x = 0

126-2*x^2-10*x = 0

2*(63-x^2-5*x) = 0

63-x^2-5*x = 0

DELTA = (-5)^2-(-1*4*63)

DELTA = 277

DELTA > 0

x = (277^(1/2)+5)/(-1*2) or x = (5-277^(1/2))/(-1*2)

x = (277^(1/2)+5)/(-2) or x = (5-277^(1/2))/(-2)

2*(x-((277^(1/2)+5)/(-2)))*(x-((5-277^(1/2))/(-2))) = 0

(2*(x-((277^(1/2)+5)/(-2)))*(x-((5-277^(1/2))/(-2))))/2 = 0

(2*(x-((277^(1/2)+5)/(-2)))*(x-((5-277^(1/2))/(-2))))/2 = 0 // * 2

2*(x-((277^(1/2)+5)/(-2)))*(x-((5-277^(1/2))/(-2))) = 0

( x-((277^(1/2)+5)/(-2)) )

x-((277^(1/2)+5)/(-2)) = 0 // + (277^(1/2)+5)/(-2)

x = (277^(1/2)+5)/(-2)

( x-((5-277^(1/2))/(-2)) )

x-((5-277^(1/2))/(-2)) = 0 // + (5-277^(1/2))/(-2)

x = (5-277^(1/2))/(-2)

x in { (277^(1/2)+5)/(-2), (5-277^(1/2))/(-2) }

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