What is the answer to sqrt((x+2))^2=121 ?

The answer to sqrt((x+2))^2=121 is x=119

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sqrt((x+2))^2=121

(x + 2)^{2} = 121

x = 119

Solution steps

((x + 2))^{2} = 121

Move

121

to the left side

(x + 2)^{2} - 121 = 0

Factor

(x + 2)^{2} - 121 : (x + 2 + 11) (x + 2 - 11)

(x + 2 + 11) (x + 2 - 11) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 + 11 = 0 or x + 2 - 11 = 0

Solve

x + 2 + 11 = 0 :

No Solution for

x \in R

Solve

x + 2 - 11 = 0 : x = 119

x = 119

Verify Solutions:

x = 119

True

The solution is

x = 119

1 + x^{2} = x

10 = - \frac{1}{2} x + 4

x^{2.6} x - 3.5 = 4.2 x + 1.2

n (x - 3) = (x - 3) - 3

x - 2 x - 1 = 0

What is the answer to sqrt((x+2))^2=121 ?
The answer to sqrt((x+2))^2=121 is x=119
Solve for x: sqrt((x+2))^2=121
The solution is x=119