X^2-5x/2x-6=1

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Solution for X^2-5x/2x-6=1 equation:


x in (-oo:+oo)

X^2-(((5*x)/2)*x)-6 = 1 // - 1

X^2-(((5*x)/2)*x)-6-1 = 0

X^2+(-5/2)*x^2-6-1 = 0

-5/2*x^2 = -(X^2-7) // : -5/2

x^2 = -2/5*(7-X^2)

x^2 = -2/5*(7-X^2) // ^ 1/2

abs(x) = (-2/5)^(1/2)*(7-X^2)^(1/2)

x = (-2/5)^(1/2)*(7-X^2)^(1/2) or x = -((-2/5)^(1/2)*(7-X^2)^(1/2))

x in { (-2/5)^(1/2)*(7-X^2)^(1/2), -((-2/5)^(1/2)*(7-X^2)^(1/2)) }

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