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Chapter 9: Q. 413 (page 1108)

In the following exercises, solve:

25x+1-8=0.

Short Answer

Expert verified

The solution is,x=3.

Step by step solution

01

Step 1. Given Information.

The expression is,

25x+1-8=0.

02

Step 2. Finding the solution.

25x+1-8=0

Adding 8on both sides,

鈬�25x+1=0+8鈬�25x+1=8

Dividing 2on both sides,

鈬�25x+12=82鈬�5x+1=4

Squaring both sides,

role="math" localid="1647889338838" 鈬�(5x+1)2=(4)2鈬�5x+1=16

Subtracting 1both sides,

鈬�5x=16-1鈬�5x=15

Dividing 5both sides,

鈬�5x5=155鈬�x=3

03

Step 3. Checking the solution.

25x+1-8

Inputting x=3,

=25脳3+1-8=215+1-8=216-8=2脳4-8=8-8=0

The solution is true.

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Most popular questions from this chapter

Solve:y-5+5=y.

In the following exercises, solve.

(a) s-8-s=-8

(b)role="math" localid="1647990991155" w+25-w+5=0

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