What is the answer to sqrt(4x+1)-sqrt(9x-2)=-1 ?

The answer to sqrt(4x+1)-sqrt(9x-2)=-1 is x=2

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sqrt(4x+1)-sqrt(9x-2)=-1

4 x + 1 - 9 x - 2 = - 1

x = 2

Solution steps

4 x + 1 - 9 x - 2 = - 1

Remove square roots

25 x^{2} - 20 x + 4 = 36 x - 8

Solve

25 x^{2} - 20 x + 4 = 36 x - 8 : x = 2, x = \frac{6}{25}

x = 2, x = \frac{6}{25}

Verify Solutions:

x = 2

True

, x = \frac{6}{25}

False

The solution is

x = 2

x + 7 = x + 1

2 x + 1 = 1 + x

3 x + 7 = 2 x

\frac{x}{x ^{2} - 1} = 0

x^{\frac{1}{3}} = - 3

What is the answer to sqrt(4x+1)-sqrt(9x-2)=-1 ?
The answer to sqrt(4x+1)-sqrt(9x-2)=-1 is x=2
Solve for x: sqrt(4x+1)-sqrt(9x-2)=-1
The solution is x=2