What is the answer to sqrt(3x+10)+1=6-3sqrt(x+3) ?

The answer to sqrt(3x+10)+1=6-3sqrt(x+3) is x=-2

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sqrt(3x+10)+1=6-3sqrt(x+3)

3 x + 10 + 1 = 6 - 3 x + 3

x = - 2

Solution steps

3 x + 10 + 1 = 6 - 3 x + 3

Remove square roots

36 x^{2} + 504 x + 1764 = 900 x + 2700

Solve

36 x^{2} + 504 x + 1764 = 900 x + 2700 : x = 13, x = - 2

x = 13, x = - 2

Verify Solutions:

x = 13

False

, x = - 2

True

The solution is

x = - 2

x^{2} - 63 = 1

x - 2 x + 2 = 0

x + 4 - x - 1 = 1

2 - x = 42.5

5 x + 24 = x

What is the answer to sqrt(3x+10)+1=6-3sqrt(x+3) ?
The answer to sqrt(3x+10)+1=6-3sqrt(x+3) is x=-2
Solve for x: sqrt(3x+10)+1=6-3sqrt(x+3)
The solution is x=-2