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Chapter 9: Q 709 (page 1151)

In the following exercises, solve the equation:

r-4-r=-10

Short Answer

Expert verified

The required value of the given equation isr=13

Step by step solution

01

Step 1. Given information

Given equation isr-4-r=-10

02

Step 2. Solve the equation using square roots.

r-4-r=-10鈬�r-4=-10+r鈬�r-4=r2-20r+100鈬�21r-104-r2=0鈬�r2-21r+104=0鈬�r2-8r-13r+104=0鈬�r(r-8)-13(r-8)=0鈬�(r-8)(r-13)=0r=8r=13

03

Step 3. Check

Putr=8

localid="1650705187746" 8-4-8=4-8=2-8=-6

Left hand side is not equal to right hand side

r=8is not a solution.

Put r=13

localid="1650705225958" 13-4-13=9-13=-10

L.H.S is equal to R.H.S

r=13is a solution.

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