What is the answer to sqrt(4x+1)-sqrt(x-2)=3 ?

The answer to sqrt(4x+1)-sqrt(x-2)=3 is x=6,x=2

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sqrt(4x+1)-sqrt(x-2)=3

4 x + 1 - x - 2 = 3

x = 6, x = 2

Solution steps

4 x + 1 - x - 2 = 3

Remove square roots

9 x^{2} - 36 x + 36 = 36 x - 72

Solve

9 x^{2} - 36 x + 36 = 36 x - 72 : x = 6, x = 2

x = 6, x = 2

Verify Solutions:

x = 6

True

, x = 2

True

The solutions are

x = 6, x = 2

2 x - 1 + x + 4 = 6

x^{\frac{3}{4}} = 8

x^{\frac{3}{2}} = 27

2 x = x - 4

x = 2

What is the answer to sqrt(4x+1)-sqrt(x-2)=3 ?
The answer to sqrt(4x+1)-sqrt(x-2)=3 is x=6,x=2
Solve for x: sqrt(4x+1)-sqrt(x-2)=3
The solution is x=6,x=2