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

The answer to sqrt((x+5)^2)=x+5 is x>=-5

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

(x + 5)^{2} = x + 5

x \geq - 5

Solution steps

(x + 5)^{2} = x + 5

Square both sides:

(x + 5)^{2} = x^{2} + 10 x + 25

(x + 5)^{2} = x^{2} + 10 x + 25

Solve

(x + 5)^{2} = x^{2} + 10 x + 25 :

True for all

x

True for all x

Verify Solutions:

x < - 5

False

, x = - 5

True

, x > - 5

True

The solution is

x \geq - 5

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

x - 5 = 23 - x

2 x + 5 - x + 14 = - 1

10 - 4 y = 5

5 - x - 3 = 0

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