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# Algebra

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

Apr 29, 2022

#1
+2532
0

We can rewrite $$(a-4)+(b-4)$$ as $$a+b-8$$

Using Vieta's formula, the sum of the roots is $$\large { -b \over a}$$. Substituting the values, we find that $$a+b= -{1 \over 7}$$

Substracting 8 from this will yield you the answer...

Apr 29, 2022

#1
+2532
0

We can rewrite $$(a-4)+(b-4)$$ as $$a+b-8$$

Using Vieta's formula, the sum of the roots is $$\large { -b \over a}$$. Substituting the values, we find that $$a+b= -{1 \over 7}$$

Substracting 8 from this will yield you the answer...

BuilderBoi Apr 29, 2022