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

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Solution for (7-x)(9/(x^2)-4) 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)

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

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

( 7-x )

7-x = 0 // - 7

-x = -7 // * -1

x = 7

( 9*x^-2-4 )

9*x^-2 = 4 // : 9

x^-2 = 4/9

-2 < 0

1/(x^2) = 4/9 // * x^2

1 = 4/9*x^2 // : 4/9

9/4 = x^2

x^2 = 9/4 // ^ 1/2

abs(x) = 3/2

x = 3/2 or x = -3/2

x in { 7, 3/2, -3/2 }

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