Solve the following equation. \sqrt{x-8}-\frac{4}{\sqrt{x-8}}=3

naivlingr

naivlingr

Answered question

2021-09-25

Solve the following equation.
x84x8=3

Answer & Explanation

lamusesamuset

lamusesamuset

Skilled2021-09-26Added 93 answers

Step 1
Given, x84x8=3
Step 2
(x8)24x8=3
Step 3
x84x8=3
Step 4
x12=3x8
Step 5
Squaring on both sides, we get
Step 6
(x12)2=(3x8)2
Step 7
x224x+144=9(x8)
Step 8
x224x+144=9x72
Step 9
x224x9x+144+72=0
x233x+216=0
Step 10
x29x24x+216=0
x(x-9)-24(x-9)=0
(x-9)(x-24)=0
x-9=0 or x-24=0
x=9 or x=24

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?