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Chapter 7: Q. 333 (page 893)

Solve Quadratic Equations by Factoring

In the following exercises, solve.

49m2=144

Short Answer

Expert verified

The solution ism=127,-127.

Step by step solution

01

Step 1. Given Information  

We are given the quadratic equation 49m2=144and we need to solve it by factoring.

02

Step 2. Solving the quadratic 

Writing the quadratic equation in standard form:

49m2=144鈬�49m2-144=0

Factoring the quadratic as a difference of squares we get,

7m-127m+12=0

Use the Zero Product Property to set each factor to 0,

7m-12=0鈬�7m=12鈬�m=1277m+12=0鈬�7m=-12鈬�m=-127

03

Step 3. Checking the answers 

Substituting each solution separately into the original equation:

m=12749m2=144鈬�491272=144鈬�49脳14449=144鈬�144=144m=-12749m2=144鈬�49-1272=144鈬�49脳14449=144鈬�144=144

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