What is the answer to sqrt(x-7)+sqrt(3x+1)=10 ?

The answer to sqrt(x-7)+sqrt(3x+1)=10 is x=16

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sqrt(x-7)+sqrt(3x+1)=10

x - 7 + 3 x + 1 = 10

x = 16

Solution steps

x - 7 + 3 x + 1 = 10

Remove square roots

4 x^{2} + 432 x + 11664 = 1200 x + 400

Solve

4 x^{2} + 432 x + 11664 = 1200 x + 400 : x = 176, x = 16

x = 176, x = 16

Verify Solutions:

x = 176

False

, x = 16

True

The solution is

x = 16

4 x - 4 = 2

m + 2 + 1 = 7

x^{2} - 7 = x + 1

6 + x = 3

(x) = \frac{1}{x + 16}

What is the answer to sqrt(x-7)+sqrt(3x+1)=10 ?
The answer to sqrt(x-7)+sqrt(3x+1)=10 is x=16
Solve for x: sqrt(x-7)+sqrt(3x+1)=10
The solution is x=16