(1/(x^2-7)-8)^4

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Solution for (1/(x^2-7)-8)^4 equation: 


D( x )

x^2-7 = 0

x^2-7 = 0

x^2-7 = 0

1*x^2 = 7 // : 1

x^2 = 7

x^2 = 7 // ^ 1/2

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

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

x in (-oo:-7^(1/2)) U (-7^(1/2):7^(1/2)) U (7^(1/2):+oo)

(1/(x^2-7)-8)^4 = 0

1/(x^2-7)-8 = 0

1/(x^2-7)+(-8*(x^2-7))/(x^2-7) = 0

1-8*(x^2-7) = 0

57-8*x^2 = 0

(57-8*x^2)/(x^2-7) = 0

(57-8*x^2)/(x^2-7) = 0 // * x^2-7

57-8*x^2 = 0

(57-8*x^2)^4 = 0

-8*x^2 = -57 // : -8

x^2 = 57/8

x^2 = 57/8 // ^ 1/2

abs(x) = (57/8)^(1/2)

x = (57/8)^(1/2) or x = -(57/8)^(1/2)

x in { (57/8)^(1/2), -(57/8)^(1/2), (57/8)^(1/2), -(57/8)^(1/2), (57/8)^(1/2), -(57/8)^(1/2), (57/8)^(1/2), -(57/8)^(1/2) }

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