What is the answer to sqrt(3x+1)=3+sqrt(x-4) ?

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

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sqrt(3x+1)=3+sqrt(x-4)

3 x + 1 = 3 + x - 4

x = 8, x = 5

Solution steps

3 x + 1 = 3 + x - 4

Remove square roots

4 x^{2} - 16 x + 16 = 36 x - 144

Solve

4 x^{2} - 16 x + 16 = 36 x - 144 : x = 8, x = 5

x = 8, x = 5

Verify Solutions:

x = 8

True

, x = 5

True

The solutions are

x = 8, x = 5

2 x + 22 + 19 = 21

x - 2 x = 0

5 x + 29 = x + 1

7 x + 1 - 8 = - 2

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