Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 4x - 11. Find u/v + v/u.
Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 4x - 11. Find u/v + v/u.
Start with the given 3x2 + 5x + 7 = 2x2 - 4x - 11
Subtract 2x2 – 4x – 11 from both sides to obtain x2 + 9x +18 = 0
Factor that resultant equation (x + 6)(x + 3) = 0
Therefore the two solutions to the quadratic are x = –6 and x = –3
So one of them is "u" and the other is "v"
We want the solution to (–6 / –3) + (–3 / –6)
What this equals is (2) + (1/2)
So the answer is 5/2 or 2.5
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