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Chapter 9: Q. 9.158 (page 1098)

Solve:y-5+5=y.

Short Answer

Expert verified

The solution isy=5,6.

Step by step solution

01

Step 1. Given Information   

We are given the quadratic equation y-5+5=yand we need to solve it.

02

Step 2. Finding the solution   

Isolating the radical on one side of the equation:

y-5+5=y鈬�y-5+5-5=y-5鈬�y-5=y-5

Squaring both sides of the equation, we get:

localid="1647942171594" y-52=y-52鈬�y-5=y2-10y+25鈬�y2-10y+25-y+5=0鈬�y2-11y+30=0鈬�y2-5y-6y+30=0鈬�yy-5-6y-5=0鈬�y-5y-6=0

Using the zero product property, we get:

y-5=0鈬�y=5y-6=0鈬�y=6

03

Step 3. Checking the answer  

y=5,y-5+5=y鈬�5-5+5=5鈬�0+5=5鈬�5=5y=6,y-5+5=y鈬�6-5+5=6鈬�1+5=6鈬�1+5=6鈬�6=6

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