What is the answer to sqrt(x+3)+sqrt(2-x)-sqrt(x+8)=0 ?

The answer to sqrt(x+3)+sqrt(2-x)-sqrt(x+8)=0 is x=-3,x=1

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sqrt(x+3)+sqrt(2-x)-sqrt(x+8)=0

x + 3 + 2 - x - x + 8 = 0

x = - 3, x = 1

Solution steps

x + 3 + 2 - x - x + 8 = 0

Remove square roots

- 4 x - 4 x^{2} + 24 = x^{2} + 6 x + 9

Solve

- 4 x - 4 x^{2} + 24 = x^{2} + 6 x + 9 : x = - 3, x = 1

x = - 3, x = 1

Verify Solutions:

x = - 3

True

, x = 1

True

The solutions are

x = - 3, x = 1

5 x = 40

5 x = 20

x - x - 6 = 2 x - 14

1 - x = 2 - 2 x + 1

2 + x - 5 = 13 - x

What is the answer to sqrt(x+3)+sqrt(2-x)-sqrt(x+8)=0 ?
The answer to sqrt(x+3)+sqrt(2-x)-sqrt(x+8)=0 is x=-3,x=1
Solve for x: sqrt(x+3)+sqrt(2-x)-sqrt(x+8)=0
The solution is x=-3,x=1