What is the answer to sqrt(x^2+2x+10)=2x-1 ?

The answer to sqrt(x^2+2x+10)=2x-1 is x=3

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sqrt(x^2+2x+10)=2x-1

x^{2} + 2 x + 10 = 2 x - 1

x = 3

Solution steps

x^{2} + 2 x + 10 = 2 x - 1

Square both sides:

x^{2} + 2 x + 10 = 4 x^{2} - 4 x + 1

x^{2} + 2 x + 10 = 4 x^{2} - 4 x + 1

Solve

x^{2} + 2 x + 10 = 4 x^{2} - 4 x + 1 : x = - 1, x = 3

x = - 1, x = 3

Verify Solutions:

x = - 1

False

, x = 3

True

The solution is

x = 3

x = - 10

2 2 x - 1 = 8

1 - x - 1 = 0

7 a - 54 - a = - 6

x + 3 = 3 x

What is the answer to sqrt(x^2+2x+10)=2x-1 ?
The answer to sqrt(x^2+2x+10)=2x-1 is x=3
Solve for x: sqrt(x^2+2x+10)=2x-1
The solution is x=3