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Solve and check each of the equations.$x^{2}+6 x+5=0$

$x=-5$ or $-1$

Algebra

Chapter 1

THE INTEGERS

Section 7

Quadratic Equations with Integral Roots

The Integers

Equations and Inequalities

Polynomials

Campbell University

Oregon State University

Harvey Mudd College

Idaho State University

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so want to solve this equation. So the first step of Mito factor our left hand side into do so. We need to split apart our middle turn. So need the most part the coefficient times, our last turn and we have one time spot, which gives us five. They would know that it needs to add to get six. So the fact is, the one in five are one and five and because six is positive, we're just gonna have positive one and positive part. So we split up our military will have X squared, then was one explicit Plavix and then bring on that place. Spot said equal to zero. But I would give the 1st 2 times and great the last two. I'm the first to club extra lift with explosive would we're from the second to the plot if I've ever lived with Explosive point. And because this term is equal to this turn, you know that we have explosive would in explicit five people zero. So now we'll have explosive one and said equal to zero. It will have explosive five. I said a please. Eric looks attract one on both sides. You get X equals negative one and a police attract five on both sides. Over here we get X equals negative five, but now he needs a check. They're really close. Each one of these answers into our original so have negative line were plus six times negative would plus fired and sunny with a zero negative. One squared is wood. Six. Something beautiful in his night stick. One minus six is negative fire and negative by Plus, Fox is this fear. So that checks out, and we also need to play in our neck. Do Bob So negative five squared plus six times negative five plus five equals zero negative box. Where gives us 25 6 times negative. Five is negative. 30. The 25 minus thirties, negative five and negative five plus five Does this secret, And that also checks out the eggs to equal negative Would four negative

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