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Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 4x - 11. Find u/v + v/u.

 Oct 29, 2022
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 3x^2 + 5x + 7 = 2x^2 - 4x - 11

3x^2 - 2x^2  +  5x  +  4x  +  7  +  11 = 0

x^2  +  9x  +  18 = 0

Use the quadratic formula to get:

 

x= - 3
x= - 6

 

[- 3 / - 6]  +  [ - 6 / - 3] = [1 / 2  +  2] = 2.5

 Oct 30, 2022

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