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Chapter 6: Q. 459 (page 638)

In the following exercises, solve:

5a2+26a=24

Short Answer

Expert verified

On solving, we get a=45,-6.

Step by step solution

01

Step 1. Given information.

Consider the given question,

5a2+26a=24

Bring all the terms to one side,

5a2+26a-24=0

On factoring,

role="math" localid="1644849645692" 5a2+30a-4a-24=05aa+6-4a+6=05a-4a+6=0

Then,

role="math" localid="1644849654425" 5a-4=0a=45

Also,

role="math" localid="1644849661549" a+6=0a=-6

02

Step 2. Check the answers.

Substitute a=45in the original equation,

5452+2645=24165+1045=241205=2424=24

This is true.

Substitute a=-6in the original equation,

5-62+26-6=24180-156=2424=24

This is also true.

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