9x/(x^2-16)=0

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Solution for 9x/(x^2-16)=0 equation:


D( x )

x^2-16 = 0

x^2-16 = 0

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in (-oo:-4) U (-4:4) U (4:+oo)

(9*x)/(x^2-16) >= 0

( 9*x )

9*x+0 >= 0 // - 0

9*x >= 0 // : 9

x >= 0/9

x >= 0

( x^2-16 )

1*x^2 >= 16

1*x^2 >= 16 // : 1

x^2 >= 16/1

x^2 >= 16

x^2 >= 16 // ^ 1/2

abs(x) >= 4

x in (-oo:-4> U <4:+oo)

(-oo:-4) (-4:0) (0:4) (4:+oo) 9*x - - + + x^2-16 + - - +

x in (-4:0> U (4:+oo)

(-4:0> U (4:+oo)

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