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Chapter 8: Q18. (page 492)

Solve each equation. Check your solution.

a2=15a

Short Answer

Expert verified

The solution ofa2=15a is role="math" localid="1647517127166" a=0,12.

Step by step solution

01

Step 1. Subtract.

Subtract 15afrom both the sides of the given equation.

a2鈭�15a=15a鈭�15a=0

02

Step 2. Factor by using GCF.

Factor by using GCF to get the form xy=0.

aa鈭�15=0

03

Step 3. Write zero product property.

For any real numbers x and y, ifxy=0 thenx=0,y=0 or bothx andy equal to zero.

04

Step 4. Apply zero product property.

Apply zero product property to the given equation, aa鈭�15=0.

a=0ora鈭�15=0a=15

Therefore, the roots are 0 and 15.

05

Step 5. Check the obtained solution.

To check whether the obtained solution is correct or not, substitute 0 for aand for in the given equation and simplify.

02=?15鈰�00=0LHS=RHS

152=?15鈰�15225=225LHS=RHS

Therefore, the obtained solution is correct.

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