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Chapter 7: Q. 480 (page 901)

In the following exercises, solve:

5a2+26a=24.

Short Answer

Expert verified

The solution for the equation is,

a=45a=-6

Step by step solution

01

Step 1. Given Inforrmation.

The equation is,

5a2+26a=24.

02

Step 2. Finding the solution.

5a2+26a=24鈬�5a2+26a-24=0

Splitting the middle term such that the sum of the terms is 26and the product of the terms is (-120).

鈬�5a2+30a-4a-24=0鈬�(5a2+30a)-(4a+24)=0鈬�5a(a+6)-4(a+6)=0鈬�(a+6)(5a-4)=0鈬�5a-4=0

or, role="math" localid="1647787660593" a+6=0

鈬�5a=4鈬�a=45

or,a=-6

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