(4x^2-7)^3/(2x^3+9x)^2

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Solution for (4x^2-7)^3/(2x^3+9x)^2 equation:


D( x )

(2*x^3+9*x)^2 = 0

(2*x^3+9*x)^2 = 0

(2*x^3+9*x)^2 = 0

2*x^3+9*x = 0

x*(2*x^2+9) = 0

2*x^2 = -9 // : 2

x^2 = -9/2

x = 0

x^2 = 0

x = 0

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

((4*x^2-7)^3)/((2*x^3+9*x)^2) = 0

2*x^3+9*x = 0

x*(2*x^2+9) = 0

2*x^2 = -9 // : 2

x^2 = -9/2

x = 0

((4*x^2-7)^3)/(x^2) = 0

4*x^2 = 7 // : 4

x^2 = 7/4

x^2 = 7/4 // ^ 1/2

abs(x) = (7/4)^(1/2)

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

x in { (7/4)^(1/2), -(7/4)^(1/2), (7/4)^(1/2), -(7/4)^(1/2), (7/4)^(1/2), -(7/4)^(1/2) }

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