What is the answer to sqrt(2x+7)+sqrt(3x+10)=2 ?

The answer to sqrt(2x+7)+sqrt(3x+10)=2 is x=-3

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sqrt(2x+7)+sqrt(3x+10)=2

2 x + 7 + 3 x + 10 = 2

x = - 3

Solution steps

2 x + 7 + 3 x + 10 = 2

Remove square roots

x^{2} + 14 x + 49 = 48 x + 160

Solve

x^{2} + 14 x + 49 = 48 x + 160 : x = 37, x = - 3

x = 37, x = - 3

Verify Solutions:

x = 37

False

, x = - 3

True

The solution is

x = - 3

x - 1 = 6 + 2 x

5 x + 61 + 14 = 20

y, x y = 1 + x^{2} y

10 x + 61 = x + 7

4 x + 20 = x + 5

What is the answer to sqrt(2x+7)+sqrt(3x+10)=2 ?
The answer to sqrt(2x+7)+sqrt(3x+10)=2 is x=-3
Solve for x: sqrt(2x+7)+sqrt(3x+10)=2
The solution is x=-3