Answer:
roots are 8 and 11
Step-by-step explanation:
Vieta's theorem tells you the sum of roots in this case* is the opposite of the x-coefficient, so is 19. Their product is the constant term, 88.
It is convenient to search for the roots by considering the factors of 88:
88 = 1·88 = 2·44 = 4·22 = 8·11
Only the latter pair of factors has a sum of 19, so those are the roots we're looking for.
The roots of the equation are 8 and 11.
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* If the quadratic is ax²+bx+c with a≠1, then the sum of roots is -b/a, and their product is c/a.
