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Solve each equation. Check your solutions.$$\frac{1}{x}+\frac{2}{x+2}=\frac{17}{35}$$

$\left\{-\frac{14}{17}, 5\right\}$

Precalculus

Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

Introduction to Conic Sections

Equations and Inequalities

Functions

Polynomials

Campbell University

McMaster University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

05:42

Solve each equation. Check…

01:55

Solve and check each equat…

01:07

Solve each equation, and c…

01:21

01:23

02:00

01:30

00:56

Solve each equation, if po…

01:17

Solve each equation.$$…

13:58

00:43

01:36

04:23

04:52

00:48

Solve each equation and ch…

00:25

01:56

01:27

00:58

In $3-17$ solve each equat…

For exercise 13. We have to multiply everything by the denominators. So I'm going to have 35 X plus 70 plus 70 X. Equal to you 17 X squared plus 34 X. Then I'm going to bring everything to my right hand side. So I have zero equals 17 X. Squared. And It will be -71. X minus 70. Okay then we can factor it as 17 X. & X. And this will be this will be -5. That will be 5085. And so if that's 85 we need to take off 14. So this will be plus 14 to satisfy the conditions. And now we can say x equals negative 14 over 17 And x equals five. Now to check the solutions we have One over negative 14/17 which is the same thing. That's 17/14 negated plus two Over negative 14/17 plus two. We go to 17 over 35. So that's mhm. See over 20/17 Equals 17/35. We can rewrite that as 34 over 20. Better yet 17/10 And then our L. c. d. here is going to be 70. So that's going to be 70 119 minus 85. And That's 34/70. equal to 34/70. That checks out Now let's try five So that's 1/5.7 equals 17/35. It's the same thing as seven plus 10 for 35 And seven plus 10. It is 17. So it's the correct solution

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