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Solve for x, where x > 0 and 84x(x + 2) = 90-13x. Express your answer as a simplified common fraction.

 Jan 20, 2020
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84x(x + 2) = 90-13x.     expand left side of equation

84x^2 + 168x = 90-13x     move everything to one side of the equation

84x^2 + 181x -90 = 0      a = 84   b = 181  c = -90  in quadratic formula

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

 

x=0.416667   is the x> 0 value

 Jan 20, 2020

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