Find the constants and such that and are both solutions to the equation .

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

Find the constants

a

and

b

such that

x = -1

and

x = 1

are both solutions to the equation

ax^2 + bx + 2 = 0

.

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