What is the answer to sqrt(3-x)=sqrt(x+7)+2 ?

The answer to sqrt(3-x)=sqrt(x+7)+2 is x=-6

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sqrt(3-x)=sqrt(x+7)+2

3 - x = x + 7 + 2

x = - 6

Solution steps

3 - x = x + 7 + 2

Remove square roots

4 x^{2} + 32 x + 64 = 16 x + 112

Solve

4 x^{2} + 32 x + 64 = 16 x + 112 : x = 2, x = - 6

x = 2, x = - 6

Verify Solutions:

x = 2

False

, x = - 6

True

The solution is

x = - 6

12 + 1 - 5 x = 18

x - 7 = 16 x + 49

(3 x + 1)^{\frac{1}{2}} = 4

2 x - 1 = 0

3 (x + 10) - 4 = x

What is the answer to sqrt(3-x)=sqrt(x+7)+2 ?
The answer to sqrt(3-x)=sqrt(x+7)+2 is x=-6
Solve for x: sqrt(3-x)=sqrt(x+7)+2
The solution is x=-6