4x-2/x=-7

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Solution for 4x-2/x=-7 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x-(2/x) = -7 // + 7

4*x-(2/x)+7 = 0

4*x-2*x^-1+7 = 0

4*x^1-2*x^-1+7*x^0 = 0

(4*x^2+7*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2+7*x^1-2*x^0) = 0

x^1

4*x^2+7*x-2 = 0

4*x^2+7*x-2 = 0

DELTA = 7^2-(-2*4*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)-7)/(2*4) or x = (-81^(1/2)-7)/(2*4)

x = 1/4 or x = -2

x in { -2, 1/4}

x in { -2, 1/4 }

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