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Let u and v be the solutions to 3x^2 + 5x + 7 = 2x^2 - 8x + 1. Find u/v + v/u.

Oct 29, 2021

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Find u/v + v/u.

Hello Guest!

$$3x^2 + 5x + 7 = 2x^2 - 8x + 1\\ x^2+13x+6=0$$

$$x=-6.5\pm\sqrt{6.5^2-6}\\ x=-6.5\pm \sqrt{36.25}\\ \color{blue}u=-6.5+ \sqrt{36.25}\\ \color{blue}v= -6.5- \sqrt{36.25}$$

$${\color{blue}\frac{u}{v}}=\frac{-6.5+ \sqrt{36.25}}{-6.5- \sqrt{36.25}}\color{blue}=0.0382725\\ {\color{blue}\frac{v}{u}}=\frac{-6.5- \sqrt{36.25}}{-6.5+\sqrt{36.25}}\color{blue}=26.12839$$

!

Oct 30, 2021