-16=(9x)/(x^2-4)

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Solution for -16=(9x)/(x^2-4) equation:


D( x )

x^2-4 = 0

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in (-oo:-2) U (-2:2) U (2:+oo)

-16 = (9*x)/(x^2-4) // - (9*x)/(x^2-4)

-((9*x)/(x^2-4))-16 = 0

-9*x*(x^2-4)^-1-16 = 0

(-9*x)/(x^2-4)-16 = 0

(-9*x)/(x^2-4)+(-16*(x^2-4))/(x^2-4) = 0

-16*(x^2-4)-9*x = 0

64-16*x^2-9*x = 0

64-16*x^2-9*x = 0

64-16*x^2-9*x = 0

DELTA = (-9)^2-(-16*4*64)

DELTA = 4177

DELTA > 0

x = (4177^(1/2)+9)/(-16*2) or x = (9-4177^(1/2))/(-16*2)

x = (4177^(1/2)+9)/(-32) or x = (9-4177^(1/2))/(-32)

(x-((4177^(1/2)+9)/(-32)))*(x-((9-4177^(1/2))/(-32))) = 0

((x-((4177^(1/2)+9)/(-32)))*(x-((9-4177^(1/2))/(-32))))/(x^2-4) = 0

((x-((4177^(1/2)+9)/(-32)))*(x-((9-4177^(1/2))/(-32))))/(x^2-4) = 0 // * x^2-4

(x-((4177^(1/2)+9)/(-32)))*(x-((9-4177^(1/2))/(-32))) = 0

( x-((4177^(1/2)+9)/(-32)) )

x-((4177^(1/2)+9)/(-32)) = 0 // + (4177^(1/2)+9)/(-32)

x = (4177^(1/2)+9)/(-32)

( x-((9-4177^(1/2))/(-32)) )

x-((9-4177^(1/2))/(-32)) = 0 // + (9-4177^(1/2))/(-32)

x = (9-4177^(1/2))/(-32)

x in { (4177^(1/2)+9)/(-32), (9-4177^(1/2))/(-32) }

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