What is the answer to sqrt((x-1)^2)=4 ?

The answer to sqrt((x-1)^2)=4 is x=5,x=-3

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sqrt((x-1)^2)=4

(x - 1)^{2} = 4

x = 5, x = - 3

Solution steps

(x - 1)^{2} = 4

Square both sides:

(x - 1)^{2} = 16

(x - 1)^{2} = 16

Solve

(x - 1)^{2} = 16 : x = 5, x = - 3

x = 5, x = - 3

Verify Solutions:

x = 5

True

, x = - 3

True

The solutions are

x = 5, x = - 3

x^{2} - 3 x^{\frac{3}{2}} - 4 x = 0

3 x - 3 = 9

3 x - 3 = 3

4^{2} - 12 x + 9 = 3

1 + 2 - x - 5 - 2 x = 0

What is the answer to sqrt((x-1)^2)=4 ?
The answer to sqrt((x-1)^2)=4 is x=5,x=-3
Solve for x: sqrt((x-1)^2)=4
The solution is x=5,x=-3