What is the answer to sqrt(35+7x)+sqrt(5x+34)=3 ?

The answer to sqrt(35+7x)+sqrt(5x+34)=3 is x=-5

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sqrt(35+7x)+sqrt(5x+34)=3

35 + 7 x + 5 x + 34 = 3

x = - 5

Solution steps

35 + 7 x + 5 x + 34 = 3

Remove square roots

4 x^{2} - 32 x + 64 = 180 x + 1224

Solve

4 x^{2} - 32 x + 64 = 180 x + 1224 : x = 58, x = - 5

x = 58, x = - 5

Verify Solutions:

x = 58

False

, x = - 5

True

The solution is

x = - 5

15 - 2 r = r

2 x - 5 + 4 = 3

2 (x - 2) = 7 - 2 x + x - 2

x = 2 x = 9 - 3

x + 17 + 3 = x

What is the answer to sqrt(35+7x)+sqrt(5x+34)=3 ?
The answer to sqrt(35+7x)+sqrt(5x+34)=3 is x=-5
Solve for x: sqrt(35+7x)+sqrt(5x+34)=3
The solution is x=-5