What is the answer to sqrt(-3x+24)-sqrt(x+20)=-2 ?

The answer to sqrt(-3x+24)-sqrt(x+20)=-2 is x=5

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sqrt(-3x+24)-sqrt(x+20)=-2

- 3 x + 24 - x + 20 = - 2

x = 5

Solution steps

- 3 x + 24 - x + 20 = - 2

Remove square roots

16 x^{2} = 16 x + 320

Solve

16 x^{2} = 16 x + 320 : x = 5, x = - 4

x = 5, x = - 4

Verify Solutions:

x = 5

True

, x = - 4

False

The solution is

x = 5

- 5 x - 14 = - 10

3 x + 9 = 6

4 x - 3 = 3

5 - x = - 5

3 x - 1 = 2 x + 1

What is the answer to sqrt(-3x+24)-sqrt(x+20)=-2 ?
The answer to sqrt(-3x+24)-sqrt(x+20)=-2 is x=5
Solve for x: sqrt(-3x+24)-sqrt(x+20)=-2
The solution is x=5