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

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

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

2 x + 3 = 1 + x + 1

x = 3, x = - 1

Solution steps

2 x + 3 = 1 + x + 1

Remove square roots

x^{2} + 2 x + 1 = 4 x + 4

Solve

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

x = 3, x = - 1

Verify Solutions:

x = 3

True

, x = - 1

True

The solutions are

x = 3, x = - 1

3 x + 2 x^{2} + 4 x = 2

2 x + 3 + x - 7 = 3

(x) = x - 1

x - 1 - 3 = x + 2

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