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Chapter 7: Q. 326 (page 893)

Solve Quadratic Equations by Factoring

In the following exercises, solve.

y2-8y+15=0

Short Answer

Expert verified

The solution isy=5,3.

Step by step solution

01

Step 1. Given Information

We are given the quadratic equation y2-8y+15=0and we need to solve it by factoring.

02

Step 2. Solving the quadratic

Factoring the quadratic we get,

y2-8y+15=0鈬�y2-5y-3y+15=0鈬�yy-5-3y-5=0鈬�y-5y-3=0

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

y-5=0鈬�y=5y-3=0鈬�y=3

03

Step 3. Checking the answers

Substituting each solution separately into the original equation:

y=5,y2-8y+15=52-85+15=25-40+15=40-40=0y=3,y2-8y+15=32-83+15=9-24+15=24-24=0

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