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Chapter 10: Q 231. (page 1236)

In the following exercises, solve using the Square Root Property.

m-72+6=30

Short Answer

Expert verified

The required answer ism=26+7andm=-26+7.

Step by step solution

01

Step 1. Given information.

The given quadratic equation is:

m-72+6=30

02

Step 2. Solve using the quadratic equation by using Square Root Property.

m-72+6=30

Isolate the quadratic term and make its coefficient one by subtracting 6 from both sides,

localid="1653462123613" m-72+6-6=30-6m-72=24

Use Square Root Property,

localid="1653462109710" m-7=卤24

Simplify the radical,

m-7=卤46m-7=卤26

Write as two equations and solve,

m-7=26andm-7=-26m=26+7andm=-26+7

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