What is the answer to sqrt(x^2+5x+25)=x+4 ?

The answer to sqrt(x^2+5x+25)=x+4 is x=3

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sqrt(x^2+5x+25)=x+4

x^{2} + 5 x + 25 = x + 4

x = 3

Solution steps

x^{2} + 5 x + 25 = x + 4

Square both sides:

x^{2} + 5 x + 25 = x^{2} + 8 x + 16

x^{2} + 5 x + 25 = x^{2} + 8 x + 16

Solve

x^{2} + 5 x + 25 = x^{2} + 8 x + 16 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

x - 10 - 3 x = 0

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

4 (x^{2} - 1) - 215 = 0

x = 3 + x - 1

2 x + 49 = 7 - 5 x

What is the answer to sqrt(x^2+5x+25)=x+4 ?
The answer to sqrt(x^2+5x+25)=x+4 is x=3
Solve for x: sqrt(x^2+5x+25)=x+4
The solution is x=3