anonymous
  • anonymous
How would I solve the following equation for x: 1/(1-sqrtx)=1-(sqrtx)/(sqrtx-1)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|dw:1359341309231:dw|
Mertsj
  • Mertsj
\[\frac{-1}{\sqrt{x}-1}=\frac{\sqrt{x}-1-\sqrt{x}}{\sqrt{x}-1}\]
Mertsj
  • Mertsj
So we see that the left side and the right side are identical so the equation is true of all values of x that are greater than or equal to 0

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
why did you add a negative sqrtx to the left? and I am trying to solve for x, not prove that it is true.
Mertsj
  • Mertsj
I wanted the denominator on the left to be the same as the denominator on the right so I multiplied numerator and denominator by -1
anonymous
  • anonymous
makes sense
Mertsj
  • Mertsj
And I did solve for x. x is all real numbers greater than or equal to 0. Just because there are many solutions does not mean the problem is not solved.
Mertsj
  • Mertsj
It's sort of like if you have to solve an equation such as: x+3 = x+3 That is true for all real numbers.
anonymous
  • anonymous
Okay, I guess I was thinking that I had to isolate x and get an actual value. But thank you!!
Mertsj
  • Mertsj
yw
anonymous
  • anonymous
wait, on the right, where did the extra sqrtx come from?
Mertsj
  • Mertsj
Had to rewrite the number 1 as: \[\frac{\sqrt{x}-1}{\sqrt{x}-1}\]
anonymous
  • anonymous
so where did the extra sqrtx come from, though?
Mertsj
  • Mertsj
|dw:1359342501576:dw|
anonymous
  • anonymous
ahhh, okay! thanks again!

Looking for something else?

Not the answer you are looking for? Search for more explanations.