Solve the radical equation. \sqrt{x+16}-\sqrt{x-4}=2

sodni3

sodni3

Answered question

2021-10-02

Solve the radical equation.
x+16x4=2

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-10-03Added 90 answers

Step 1
Solve the radical
x+16x4=2
Step 2
x+16x4=2
x+16=x4+2
squaring both sides
(x+16)2=(x4+2)2
Expanding both sides
x+16=x4+2(x4)(2)+4   [(a+b)2=a2+2ab+b2]
x+16=x+4x4
16=4x4
164=x4
4=x4
squaring both sides
16=x-4
20=x

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