Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Solve each equation. Check your solutions.$$\frac{4}{3-p}+\frac{2}{5-p}=\frac{26}{15}$$

Precalculus

Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

Introduction to Conic Sections

Equations and Inequalities

Functions

Polynomials

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function…

03:18

05:59

Solve each equation. Check…

05:49

00:24

Solve each equation, and c…

00:57

00:51

01:54

01:57

Solve each equation.$$…

02:35

Solve each equation and ch…

02:04

Solve and check each equat…

00:26

00:34

00:20

04:37

00:37

Solve each equation. $…

02:02

01:59

01:19

03:06

Solve each equation by usi…

03:13

for exercise 16. We're going to multiply by our denominators. Denominators. So we're going to have 300 finest 60 P plus 4 50 minus 30 P. What did I say? 450. Mhm. That should be 90. Mhm. And Then that'll be -30p. Equal to. And I'm just going to write it this way 15 minus eight P. Plus P squared. And so when we multiply 26 It's going to be 26 p. Squared minus eight times 26 Is -208 p. 15 times 26. There's 3 90. Then our left hand side when we combine like terms we have negative 90 p Plus 390. We need everything to the right hand side. We have 26 p squared -1 18 p. Then we can write this as mhm. Let's see it's two P. 13 P minus 59. Then we can say Pecan equal in this situation zero or 59 13th. Now let's check. So if P equals zero that's going to be For this exercise to over one Plus 3/2 equals this. Sorry I meant 4/3 plus 2/5 Equal to 26/15. All right so that means R. L. c. d. here is going to be 15. So it's going to be 20-plus 6 which is 26. So that's true. Now let's try plugging in 59 13. So we have four over 3 -59/13 plus two over 5 -59/13. Equal to 26/15. So in other words we have four over negative 33rd plus two over 6, 13 Equal to 26, 15. We can rewrite this as 52 over negative 20 Plus 26/6. You go to 26/15 and 30 is going to be our L. c. d. here. So we're going to have negative 78 plus 130. I think that's going to equal 52 over 30 Is equal to 26/15. Which is true. Therefore, solutions are true.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, a function is a relation between a set of inputs and a set o…

Solve each equation. Check your solutions. See Example 1 .$$\frac{4}{3-p…

Solve each equation. Check your solutions.$3|p-5|=2 p$

Solve each equation, and check your solution.$$4 p-5=2 p$$

Solve each equation, and check your solution.$$5 p=4 p$$

Solve each equation, and check your solution.$$2=p+15$$

Solve each equation, and check your solutions.$\frac{8 p}{5}=\frac{3 p-4…

Solve each equation. Check your solutions.$$\frac{15}{p}+p=16$$<…

Solve each equation.$$3 p-\frac{p}{4}-5=\frac{p}{6}-2 p+6$$

Solve each equation and check the result. If an equation has no solution, so…

Solve and check each equation. $$5-0.4 p=2.6$$

Solve each equation, and check your solution. See Examples $1-6$$$\f…

Solve each equation, and check your solution. See Examples 1–5, 9, and 10.

Solve each equation. Check your solutions.$$5+\frac{2}{p}=\frac{17}{…

Solve each equation, and check your solutions. See Examples $3-7$$$\…

Solve each equation. $$\frac{2}{3 p-1}=5$$

Solve each equation. Check your solution.$7 p-4=3(4+5 p)$

Solve each equation, and check your solutions.$\frac{3 p+6}{8}=\frac{3 p…

Solve each equation, and check your solution.$$2(p+5)-(9+p)=-3$$…

Solve each equation by using the method of your choice. Find exact solutions…

Solve each equation.$$4[2 p-(3-p)+5]=-7 p-2$$

Identify the vertex of each parabola. See Examples 1–4.$$f(x)=\frac{…

00:23

Mulliply, if possible, using the product rule. Assume that all variables rep…

01:46

Simplify each radical. Assume that all variables represent positive real mum…

00:40

00:16

Identify the vertex of each parabola. See Examples 1–4.$$f(x)=(x+5)^…

00:33

Find each product. See Sections 4.5 and 4.6.$$5 x y\left(2 x^{2} y^{…

01:47

Solve for $x .$ Assume that a and b represent positive real numbers.$(5 …

00:25

For each pair of functions, find the product (fg)(x). See Example 4.$$

00:32

Find each power of $i$$$i^{-5}$$