14p^3q^2/x^2-16

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Solution for 14p^3q^2/x^2-16 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(14*p^3*q^2)/(x^2)-16 = 0

14*p^3*q^2*x^-2 = 16 // : 14*p^3*q^2

x^-2 = (8/7)*p^-3*q^-2

-2 < 0

1/(x^2) = (8/7)*p^-3*q^-2 // * x^2

1 = (8/7)*p^-3*q^-2*x^2 // : (8/7)*p^-3*q^-2

7/8*p^3*q^2 = x^2

x^2 = 7/8*p^3*q^2 // ^ 1/2

abs(x) = (7/8)^(1/2)*p^(3/2)*q

x = (7/8)^(1/2)*p^(3/2)*q or x = -((7/8)^(1/2)*p^(3/2)*q)

x in { (7/8)^(1/2)*p^(3/2)*q, -((7/8)^(1/2)*p^(3/2)*q) }

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