What is the answer to sqrt(3x-8)=1+sqrt(x+1) ?

The answer to sqrt(3x-8)=1+sqrt(x+1) is x=8

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sqrt(3x-8)=1+sqrt(x+1)

3 x - 8 = 1 + x + 1

x = 8

Solution steps

3 x - 8 = 1 + x + 1

Remove square roots

4 x^{2} - 40 x + 100 = 4 x + 4

Solve

4 x^{2} - 40 x + 100 = 4 x + 4 : x = 8, x = 3

x = 8, x = 3

Verify Solutions:

x = 8

True

, x = 3

False

The solution is

x = 8

8 x - 4 = x + 1

n = 9

5 4 x = 60

7 x + 109 + 11 = 20

What is the answer to sqrt(3x-8)=1+sqrt(x+1) ?
The answer to sqrt(3x-8)=1+sqrt(x+1) is x=8
Solve for x: sqrt(3x-8)=1+sqrt(x+1)
The solution is x=8