What is the answer to sqrt(x-5)+sqrt(3x+7)=10 ?

The answer to sqrt(x-5)+sqrt(3x+7)=10 is x=14

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sqrt(x-5)+sqrt(3x+7)=10

x - 5 + 3 x + 7 = 10

x = 14

Solution steps

x - 5 + 3 x + 7 = 10

Remove square roots

4 x^{2} + 448 x + 12544 = 1200 x + 2800

Solve

4 x^{2} + 448 x + 12544 = 1200 x + 2800 : x = 174, x = 14

x = 174, x = 14

Verify Solutions:

x = 174

False

, x = 14

True

The solution is

x = 14

x^{0.5822} = 1.11

x - 8 = 2 x - 32

x + 3 + 6 = 3

2 x + x - 3 = - 1

8 x + 9 = x + 3

What is the answer to sqrt(x-5)+sqrt(3x+7)=10 ?
The answer to sqrt(x-5)+sqrt(3x+7)=10 is x=14
Solve for x: sqrt(x-5)+sqrt(3x+7)=10
The solution is x=14