What is the answer to sqrt(x+4)+sqrt(3x+16)=2 ?

The answer to sqrt(x+4)+sqrt(3x+16)=2 is x=-4

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sqrt(x+4)+sqrt(3x+16)=2

x + 4 + 3 x + 16 = 2

x = - 4

Solution steps

x + 4 + 3 x + 16 = 2

Remove square roots

4 x^{2} + 64 x + 256 = 48 x + 256

Solve

4 x^{2} + 64 x + 256 = 48 x + 256 : x = 0, x = - 4

x = 0, x = - 4

Verify Solutions:

x = 0

False

, x = - 4

True

The solution is

x = - 4

5 x^{\frac{5}{3}} + 160 = 0

2 = 3 x - 1

x + 4 = 12

2 x + 40 = 8

1100 = 1087 \frac{x}{273}

What is the answer to sqrt(x+4)+sqrt(3x+16)=2 ?
The answer to sqrt(x+4)+sqrt(3x+16)=2 is x=-4
Solve for x: sqrt(x+4)+sqrt(3x+16)=2
The solution is x=-4