An algebra problem by Sakanksha Deo

Algebra Level 3

If $y = x^{2} - 2x + 1$

Then,

$\sqrt{y} = ?$

( x + 1 ) ( x - 1 ) ( x - 1 ) or ( 1 - x ) x

1 solution

Pranjal Jain
Feb 22, 2015

$y=x^2-2x+1=(x-1)^2$

$\sqrt{y}=\sqrt{(x-1)^2}=|x-1|\\=x-1\ or\ 1-x$

tricky oneee

Saddan Omar - 6 years, 2 months ago

why? im so mind blowned XD

Jøhn Franz Sewan - 6 years, 2 months ago

Because a negative number becomes a positive when squared, but would still leave its double as the coefficient in the second term.

Feathery Studio - 6 years, 1 month ago

did the same and got it right.

Rama Devi - 6 years ago

Good solution

Sai Ram - 5 years, 11 months ago

Question. Isn't x^2 just x x? also 2x would also equal x x. So lets say x x=z. z-z (because of the two x x's) = 0. then the 0+1=1. So the square root of one is the answer. I just checked and the square root of one, I dont know how I forgot, is one. So wouldn't the answer be 1?

Mason Friedrichsen - 6 years, 1 month ago

$2x=2 \times x$ $x^{2}=x \times x$

Julian Poon - 5 years, 11 months ago

I'm reading this later and I haven't a clue what I just said.

Mason Friedrichsen - 5 years, 10 months ago

Nope. never mind I get it.

Mason Friedrichsen - 5 years, 10 months ago

An algebra problem by Sakanksha Deo

1 solution

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