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Solve and check each of the equations.$7=x(8-x)$

$x=1$ or 7

Algebra

Chapter 1

THE INTEGERS

Section 7

Quadratic Equations with Integral Roots

The Integers

Equations and Inequalities

Polynomials

Oregon State University

Harvey Mudd College

Baylor University

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in this problem. We want to solve and check this equation. So that's we'll try this exit So we have the seven equals a X minus X squared. If we add a exportable size and we subtract eight x will get X squared minus eight. X plus seven equals zero. We can factor that by looking at seven. So seven really only husbands will have seven and one. So using that information will get X minus seven times X minus one. Because that's the only way that we could have a negative eight x here. So saying that equals zero. We get that our answer is X equals seven or one and checking that if we plug in one first, we'll get one times seven that those equals seven. And then for our 2nd 1 which is going to be using, uh, seven, we're going to get seven times one, which also equals seven

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