-1/4*x^2=16-5x

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Solution for -1/4*x^2=16-5x equation:


x in (-oo:+oo)

(-1/4)*x^2 = 16-(5*x) // - 16-(5*x)

(-1/4)*x^2+5*x-16 = 0

5*x-1/4*x^2-16 = 0

DELTA = 5^2-(-16*(-1/4)*4)

DELTA = 9

DELTA > 0

x = (9^(1/2)-5)/(-1/4*2) or x = (-9^(1/2)-5)/(-1/4*2)

x = 4 or x = 16

x in { 4, 16 }

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