What is the answer to sqrt(x+6)-sqrt(3x+16)+sqrt(x+1)=0 ?

The answer to sqrt(x+6)-sqrt(3x+16)+sqrt(x+1)=0 is x=3

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sqrt(x+6)-sqrt(3x+16)+sqrt(x+1)=0

x + 6 - 3 x + 16 + x + 1 = 0

x = 3

Solution steps

x + 6 - 3 x + 16 + x + 1 = 0

Remove square roots

12 x^{2} + 136 x + 384 = 9 x^{2} + 126 x + 441

Solve

12 x^{2} + 136 x + 384 = 9 x^{2} + 126 x + 441 : x = 3, x = - \frac{19}{3}

x = 3, x = - \frac{19}{3}

Verify Solutions:

x = 3

True

, x = - \frac{19}{3}

False

The solution is

x = 3

\frac{3 x + 9 x ^{2} - 80 x}{10} = 3

2 x + x + 24 = 7

3 x - 2 + 2 x + 5 + 1 = 0

x + 7 = 23 - x

13 = 6 + 7 r

What is the answer to sqrt(x+6)-sqrt(3x+16)+sqrt(x+1)=0 ?
The answer to sqrt(x+6)-sqrt(3x+16)+sqrt(x+1)=0 is x=3
Solve for x: sqrt(x+6)-sqrt(3x+16)+sqrt(x+1)=0
The solution is x=3