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Chapter 6: Q 6.95 (page 619)

Solve18a2-30=-33a

Short Answer

Expert verified

The value isa=23,-52

Step by step solution

01

Given information

Given the equation,18a2-30=-33a

02

Writing in standard form

Writing in standard form, we get

18a2-30=-33a18a2+33a-30=03(6a2+11a-10)=0

03

Using zero factor principle

Using the principle, we get

6a2+11a-10=06a2+15a-4a-10=03a(2a+5)-2(2a+5)=0(3a-2)(2a+5)=0a=23,-52

04

Checking the value

Substituting and checking the value, we get

18(23)2-30=-33(23)18脳49-30=-228-30=-22-22=-22

This is true

05

Checking for another value

Checking, we get

18(-52)2-30=-33(-52)18脳254-30=16521652=1652

This is true

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