Question

which statement is true about the root of the equation below?
square root of x^2-5x+5=1

Answer 1

1)The only root is 1
2) The only root is 4
3)Both 1 and 4 are roots
4)Neither 1 nor 4 is a root

Answer 2

I would solve it.
\[\huge\color{red}{ x^2-5x+5=1 } \]\[\huge\color{red}{ x^2-5x+5 } +1.25=\huge\color{red}{ 1 } +1.25\]\[\huge\color{red}{ x^2-5x+6.25=2.25 } \]

and we know that \[1.5^2=2.25~~~~~~~~and~~~~~~~~~2.5^2=6.25\]can tyou solve it from here?

Answer 3

i got 1 and 4 for the roots

Answer 4

YUP!

Answer 5

Good work.

Answer 6

thanks!!

Answer 7

Anytime, the reason I thought of completing the square because it's easier to do it without a paper.

Answer 8

I made you yellow just now, CONGRATS on your new color!

Answer 9

Aww.. thank youuu :D

Answer 10

Wow congratulations :D

Answer 11

@SolomonZelman but factorizing x^2-5x-4=0 is easier?

Answer 12

+4*

Answer 13

Idk, I like completing the square, also it's good to remember that,
\[\huge\color{blue}{ 12^2=144 } ~~~~\huge\color{green}{ 13^2=169 } ~~~~\huge\color{red}{ 14^2=196 } \]\[\huge\color{goldenrod}{ 15^2=225 } ~~~....~~~\huge\color{magenta }{ 25^2=625 } \]

Answer 14

You do have the point though.

Answer 15

I see. So different people have different "easiet" approaches :)