Question

simplify (sqrt(x^2-x)-x)* (sqrt(x^2-x)+x/(sqrt(x^2-x)+x)

Answer 1

\[\large (\sqrt{x^2 - x} - x )\times \frac{\sqrt{x^2 - x} + x}{\sqrt{x^2 - x} +x}\]

isnt this just times 1?

Answer 2

exactly, but I meant, but what does it equal at the end?!

Answer 3

it's not times one. It's time the congent.

Answer 4

\[\implies (\sqrt{x^2 - x} - x) \times 1\]

Answer 5

did i write your question right?

Answer 6

\[\large \frac{\large (\sqrt{x^2 - x} - x )\times \sqrt{x^2 - x} + x}{\sqrt{x^2 - x} +x}\]

Answer 7

Although the answer will be same..

Answer 8

yes, exactly, but now what? How does one solve such a problem?

Answer 9

\[b \times 1 = b\]
anything multipliedto 1 remains the same

Answer 10

the answer will not be the same. It will remove the square roots

Answer 11

\[\large \frac{\large (\sqrt{x^2 - x} - x )\times \cancel{\sqrt{x^2 - x} + x}}{\cancel{\sqrt{x^2 - x} +x}}\]

Answer 12

OHHHH conjugate...

Answer 13

yes! that's the word!

Answer 14

you dont really do conjugate in this situation...but if you insist...

Answer 15

if I did it wrong then tell me.

Answer 16

What is your actual question ??

Answer 17

the first part of the equation times the conjugate.

Answer 18

\[\large (\sqrt{x^2 - x} - x )\times \frac{\sqrt{x^2 - x} + x}{\sqrt{x^2 - x} +x} \implies \frac{x^2 - x - x^2}{\sqrt{x^2 - x} +x}\]

Answer 19

\[\frac{(\sqrt{x^2 - x} - x)(\sqrt{x^2 - x} + x)}{\sqrt{x^2 - x} + x}\]
\[\implies \frac{(\sqrt{x^2 - x})^2 - (x)^2}{\sqrt{x^2 - x} + x}\]
\[\implies \frac{ x^2 - x -x^2}{\sqrt{x^2 - x} + x}\]
\[\implies \frac{-x}{\sqrt{x^2 - x} + x}\]

Answer 20

\[\large (\sqrt{x^2 - x} - x )\times \frac{\sqrt{x^2 - x} + x}{\sqrt{x^2 - x} +x} \implies \frac{x^2 - x - x^2}{\sqrt{x^2 - x} +x} \implies \frac{-x}{\sqrt{x^2 - x} +x}\]

Answer 21

okay i encountered some problems coz i couldnt see the live preview of the latex =)))

Answer 22

Just reload the page..

Answer 23

do you get what i did @Compgroupmail

Answer 24

yes, just absorbing it now.

Answer 25

alright thanks. I got it now. :)

Answer 26

water, what tool do you use in displaying the equations?

Answer 27

wonderful