-1/4x^2=4x-3

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Solution for -1/4x^2=4x-3 equation:


x in (-oo:+oo)

(-1/4)*x^2 = 4*x-3 // - 4*x-3

(-1/4)*x^2-(4*x)+3 = 0

(-1/4)*x^2-4*x+3 = 0

3-1/4*x^2-4*x = 0

DELTA = (-4)^2-(-1/4*3*4)

DELTA = 19

DELTA > 0

x = (19^(1/2)+4)/(-1/4*2) or x = (4-19^(1/2))/(-1/4*2)

x = -2*(19^(1/2)+4) or x = -2*(4-19^(1/2))

x in { -2*(19^(1/2)+4), -2*(4-19^(1/2)) }

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