Answer:
x = 3, and is acceptable solution (not extraneous)
Step-by-step explanation:
This is an irrational equation √8x + 1 = 5
This equation is valid under the following condition
8x + 1 ≥ 0 => 8x ≥ -1 => x ≥ - 1/8
√8x + 1 = 5 / ( )²
First step is to square both sides of the equation and get:
8x + 1 = 25 => 8x = 25 - 1 => 8x = 24 => x = 24/8 = 3
x = 3 and this solution is acceptable because it's satisfy condition x≥ - 1/8
If you mean extraneous as unacceptable solution.
God with you!!!
