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Chapter 5: Q. 73 (page 284)

solve each equation. Verify your results using a graphing utility.

3x2-7=272x

Short Answer

Expert verified

The value of x for which the above equation is valid are :

-1,7

Step by step solution

01

Step 1. Given equation

3x2-7=272x

02

Step 2. Solving exponentially

3x2-7=272x3x2-7=33(2x)3x2-7=36x

By exponential property

av=au鈬�v=u

Using this :

x2-6x-7=0鈬�x2-7x+x-7=0鈬�x(x-7)+1(x-7)=0鈬�(x+1)(x-7)=0鈬�x=-1orx=7

03

Step 3. Verifying Graphically

Sketching the graphs of

3x2-7&272x

Where they will intersect will be the solution .

They intersect at -1,7

hence verified

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