What is the answer to sqrt(5+x)-sqrt(4x+9)=-2 ?

The answer to sqrt(5+x)-sqrt(4x+9)=-2 is x=4

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sqrt(5+x)-sqrt(4x+9)=-2

5 + x - 4 x + 9 = - 2

x = 4

Solution steps

5 + x - 4 x + 9 = - 2

Remove square roots

9 x^{2} + 48 x + 64 = 64 x + 144

Solve

9 x^{2} + 48 x + 64 = 64 x + 144 : x = 4, x = - \frac{20}{9}

x = 4, x = - \frac{20}{9}

Verify Solutions:

x = 4

True

, x = - \frac{20}{9}

False

The solution is

x = 4

7 x + 36 = x + 4

4 x - 4 - 2 - x = 1

\frac{x}{5} = 2

4 = x - 4

x - 4 - x - 3 = - 1

What is the answer to sqrt(5+x)-sqrt(4x+9)=-2 ?
The answer to sqrt(5+x)-sqrt(4x+9)=-2 is x=4
Solve for x: sqrt(5+x)-sqrt(4x+9)=-2
The solution is x=4