Question about the square root of a non-negative

rijstmeel7d4t

rijstmeel7d4t

Answered question

2022-04-01

Question about the square root of a non-negative quadratic function.
For which values of x does this apply
x2+2x+1=x+1

Answer & Explanation

Deon Frost

Deon Frost

Beginner2022-04-02Added 6 answers

You have x2+2x+1=(x+1)2=|x+1|.
And |x+1|=x+1x+10x1.
Cason Harmon

Cason Harmon

Beginner2022-04-03Added 8 answers

Well, (x+1)0x1. So whenever x1,x2+2x+1=x+1. Your'e right that the square root returns positive values, but you should notice that the positive values are of x+1 and not x. Another way to see it is to replace x+1 with y. Now the question becomes - when does y2=y. This is ofcourse true y0x+10

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