What is the answer to sqrt(3x-8)+1=sqrt(x+5) ?

The answer to sqrt(3x-8)+1=sqrt(x+5) is x=4

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sqrt(3x-8)+1=sqrt(x+5)

3 x - 8 + 1 = x + 5

x = 4

Solution steps

3 x - 8 + 1 = x + 5

Remove square roots

12 x - 32 = 4 x^{2} - 48 x + 144

Solve

12 x - 32 = 4 x^{2} - 48 x + 144 : x = 11, x = 4

x = 11, x = 4

Verify Solutions:

x = 11

False

, x = 4

True

The solution is

x = 4

- x + 5 + 3 x + 4 = 3

3 x + 1 = - 4

4 x - 2 = 2

7 x - 6 = 6

x - x - 3 = 1

What is the answer to sqrt(3x-8)+1=sqrt(x+5) ?
The answer to sqrt(3x-8)+1=sqrt(x+5) is x=4
Solve for x: sqrt(3x-8)+1=sqrt(x+5)
The solution is x=4