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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85

Problem 21 Easy Difficulty

Solve each equation. Check your solutions.
$$
\frac{6}{p}=2+\frac{p}{p+1}
$$

Answer

$\left\{\frac{2 \pm \sqrt{22}}{3}\right\}$

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Algebra

Beginning and Intermediate Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

Related Topics

Introduction to Conic Sections

Equations and Inequalities

Functions

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Video Transcript

for Exercise 21. We have six p plus six equal to two P squared plus two P plus p squared. Bring everything to my right hand side. I have three P squared -4 p -6. So I can try and factor this out and I can use the quadratic formula. This does not factor for me and it doesn't look like it is. So I use the quadratic formula X equals four plus or minus square root of 16 minus really? Plus 72 over six. So this week or for plus or minus 80 eight, which I can write as to times two, times 22 over six. And so, but that's going to equal is hmm, we'll be able to pull it to you out. That's two plus or minus Route 22 over three. And then we can check for solutions and that's going to be Mostly using the calculator. So we'll have six over two plus or -122 over three equal to you two plus two plus or -122 over three. This is over two. Plus or minus. Route 22 Over three Plus 1.

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Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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