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Algebra

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5
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Let a and b be the solutions to 7x^2 + x - 5 = 6x^2 - 11x - 2. Compute (a - 4) + (b - 4).

Apr 11, 2024

#1
+214
+1

$$7x^2 + x - 5 = 6x^2 - 11x - 2$$ is equal to:
$$x^2+12x-3$$

$$(a - 4) + (b - 4)$$

is $$a+b-8$$

sum of roots: $$\frac{-b}{a}$$

sum: $$\frac{-12}{1}$$= -12

-12 - 8 = -20

Apr 13, 2024
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