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19 votes
19 votes
Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

The square root of the quantity 2 x minus 7 end quantity equals 1.

User AlokThakur
by
2.4k points

2 Answers

17 votes
17 votes

Answer:

x=32

Explanation:

User Guillaume Smet
by
2.9k points
16 votes
16 votes

Answer:

x = 32

Step-by-step explanation:

Add 7 to both sides


√(2x) -7+7=1+7

Simplify

-7 + 7 = 0 and 1 + 7 = 8 because of this now
√(2x) =8

Square both sides

2x = 64

Slove 2x = 64

64 ÷ 2 = 32 = x

User Czardoz
by
3.2k points