What is the answer to sqrt(1-2x)-sqrt(13+x)=sqrt(x+4) ?

The answer to sqrt(1-2x)-sqrt(13+x)=sqrt(x+4) is x=-4

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sqrt(1-2x)-sqrt(13+x)=sqrt(x+4)

1 - 2 x - 13 + x = x + 4

x = - 4

Solution steps

1 - 2 x - 13 + x = x + 4

Remove square roots

52 - 100 x - 8 x^{2} = 4 x^{2} - 40 x + 100

Solve

52 - 100 x - 8 x^{2} = 4 x^{2} - 40 x + 100 : x = - 4, x = - 1

x = - 4, x = - 1

Verify Solutions:

x = - 4

True

, x = - 1

False

The solution is

x = - 4

- 1 - x + 6 = 6

3 x - 15 - 13 = - 10

1 - x^{\frac{2}{3}} = 0

\frac{8 x + 8}{7 x ^{\frac{6}{7}}} = 0

v = 3 + 2 v

What is the answer to sqrt(1-2x)-sqrt(13+x)=sqrt(x+4) ?
The answer to sqrt(1-2x)-sqrt(13+x)=sqrt(x+4) is x=-4
Solve for x: sqrt(1-2x)-sqrt(13+x)=sqrt(x+4)
The solution is x=-4