Easy way of tackling \sqrt{x^2}+x=\sqrt 5 Solve for x

Lainey Goodwin

Lainey Goodwin

Answered question

2022-01-27

Easy way of tackling x2+x=5
Solve for x

Answer & Explanation

tipoule137p

tipoule137p

Beginner2022-01-28Added 10 answers

There is another way to solve this.
Using the fact that x2=|x|. Your equation turns out to be
|x|+x=5
First look for solutions where x0 in this case you get x+x=5 and so x=52
Now if x<0 then |x|=x and so you get x+x=5 and clearly no x satisfies this condition.

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