What is the answer to sqrt((x-7)^2)=x-7 ?

The answer to sqrt((x-7)^2)=x-7 is x>= 7

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sqrt((x-7)^2)=x-7

(x - 7)^{2} = x - 7

x \geq 7

Solution steps

(x - 7)^{2} = x - 7

Square both sides:

(x - 7)^{2} = x^{2} - 14 x + 49

(x - 7)^{2} = x^{2} - 14 x + 49

Solve

(x - 7)^{2} = x^{2} - 14 x + 49 :

True for all

x

True for all x

Verify Solutions:

x < 7

False

, x = 7

True

, x > 7

True

The solution is

x \geq 7

2 x - 1 = 1

72 - p = p

k^{2} - 4 = 4 - k

16 x = 4 x

x - 2 - 7 = - 4

What is the answer to sqrt((x-7)^2)=x-7 ?
The answer to sqrt((x-7)^2)=x-7 is x>= 7
Solve for x: sqrt((x-7)^2)=x-7
The solution is x>= 7