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Chapter 9: Q. 9.161 (page 1100)

Solve:24a+2-16=16.

Short Answer

Expert verified

The solution isa=1272.

Step by step solution

01

Step 1. Given Information 

We are given the quadratic equation 24a+2-16=16and we need to solve it.

02

Step 2. Finding the solution  

Isolating the radical on one side of the equation:

24a+2-16=16鈬�24a+2=16+16鈬�24a+2=32

Squaring both sides of the equation, we get:

24a+22=322鈬�44a+2=1024鈬�16a+8=1024鈬�16a=1024-8鈬�16a=1016鈬�a=101616鈬�a=1272

03

Step 3. Checking the answer  

a=1272,24a+2-16=16鈬�24脳1272+2-16=16鈬�2254+2-16=16鈬�2256-16=16鈬�2脳16-16=16鈬�32-16=16鈬�16=16

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Try It.

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