Algebra

Question

0

45

1

+818

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

maximum Apr 11, 2024

aboslutelydestroying · Answer 1 · 2024-04-13T01:05:48

$7x^2 + x - 5 = 6x^2 - 11x - 2$ 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