What is the answer to sqrt(5x+1)=5-sqrt(x-2) ?

The answer to sqrt(5x+1)=5-sqrt(x-2) is x=3

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sqrt(5x+1)=5-sqrt(x-2)

5 x + 1 = 5 - x - 2

x = 3

Solution steps

5 x + 1 = 5 - x - 2

Remove square roots

16 x^{2} - 176 x + 484 = 100 x - 200

Solve

16 x^{2} - 176 x + 484 = 100 x - 200 : x = \frac{57}{4}, x = 3

x = \frac{57}{4}, x = 3

Verify Solutions:

x = \frac{57}{4}

False

, x = 3

True

The solution is

x = 3

9 = 3 (8 t + 600)^{2}

5 x - 4 - 2 = x

1 - x - 1 = x

2 x^{\frac{16}{5}} - 16 x^{\frac{13}{5}} = 0

5 4 x + 3 + 5 = 4

What is the answer to sqrt(5x+1)=5-sqrt(x-2) ?
The answer to sqrt(5x+1)=5-sqrt(x-2) is x=3
Solve for x: sqrt(5x+1)=5-sqrt(x-2)
The solution is x=3