What is the answer to sqrt(3x+10)-sqrt(3-x)=3 ?

The answer to sqrt(3x+10)-sqrt(3-x)=3 is x=2

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sqrt(3x+10)-sqrt(3-x)=3

3 x + 10 - 3 - x = 3

x = 2

Solution steps

3 x + 10 - 3 - x = 3

Remove square roots

16 x^{2} - 16 x + 4 = 108 - 36 x

Solve

16 x^{2} - 16 x + 4 = 108 - 36 x : x = 2, x = - \frac{13}{4}

x = 2, x = - \frac{13}{4}

Verify Solutions:

x = 2

True

, x = - \frac{13}{4}

False

The solution is

x = 2

2 x + 48 = x

x = 2 2 x - 3

3 x - 9 = 0

2 3 x + 1 - 7 = - 3 x

2 x + 1 + x - 3 = 2 x

What is the answer to sqrt(3x+10)-sqrt(3-x)=3 ?
The answer to sqrt(3x+10)-sqrt(3-x)=3 is x=2
Solve for x: sqrt(3x+10)-sqrt(3-x)=3
The solution is x=2