What is the answer to sqrt(2x+7)=sqrt(x+3)+1 ?

The answer to sqrt(2x+7)=sqrt(x+3)+1 is x=1,x=-3

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sqrt(2x+7)=sqrt(x+3)+1

2 x + 7 = x + 3 + 1

x = 1, x = - 3

Solution steps

2 x + 7 = x + 3 + 1

Remove square roots

x^{2} + 6 x + 9 = 4 x + 12

Solve

x^{2} + 6 x + 9 = 4 x + 12 : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions:

x = 1

True

, x = - 3

True

The solutions are

x = 1, x = - 3

x + 1 = 3 x + 1

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

x - 2 - x = - 4

- 1 = - 1 - 2 n - 6 - 2 n

2 x - 7 - 3 = 4

What is the answer to sqrt(2x+7)=sqrt(x+3)+1 ?
The answer to sqrt(2x+7)=sqrt(x+3)+1 is x=1,x=-3
Solve for x: sqrt(2x+7)=sqrt(x+3)+1
The solution is x=1,x=-3