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# help algebra

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The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a + 4) + (b + 4)

May 1, 2022

### 1+0 Answers

#1
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Re-write as $$a+b+8$$

By Vieta's, we know that $$a+b= -{b \over a}$$. Plugging the values in, we find that $$a+b=-{1 \over 7}$$

We now have to add 8 to this total, and we find the final answer is $$\color{brown}\boxed{7 {6 \over 7}}$$

May 1, 2022