What is the answer to sqrt(7-x)-sqrt(19+x)=-2 ?

The answer to sqrt(7-x)-sqrt(19+x)=-2 is x=2(2sqrt(3)-3)

Solve for x: sqrt(7-x)-sqrt(19+x)=-2

The solution is x=2(2sqrt(3)-3)

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7 - x - 19 + x = - 2

x = 2 (23 - 3)

Decimal Notation

x = 0.92820 \dots

Solution steps

7 - x - 19 + x = - 2

Remove square roots

4 x^{2} + 64 x + 256 = 304 + 16 x

Solve

4 x^{2} + 64 x + 256 = 304 + 16 x : x = 2 (23 - 3), x = - 2 (3 + 23)

x = 2 (23 - 3), x = - 2 (3 + 23)

Verify Solutions:

x = 2 (23 - 3)

True

, x = - 2 (3 + 23)

False

The solution is

x = 2 (23 - 3)

2 x + 5 - 3 = 0

x^{\frac{1}{2}} = \frac{1}{3}

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

x^{2} + 9 = 4

What is the answer to sqrt(7-x)-sqrt(19+x)=-2 ?
The answer to sqrt(7-x)-sqrt(19+x)=-2 is x=2(2sqrt(3)-3)
Solve for x: sqrt(7-x)-sqrt(19+x)=-2
The solution is x=2(2sqrt(3)-3)