.1. If x+1/y=a+1/b Hint: Square both sides
then prove, (x^2) +1/(y^2)= (a^2) +1/(b^2)
2. If a^2+b^2+c^2=ab+bc+ca then prove a=b=c
For exercise (1), did you mean any of the following?1. If x+1/y=a+1/b then prove, (x^2) +1/(y^2)= (a^2) +1/(b^2)
2. If a^2+b^2+c^2=ab+bc+ca then prove a=b=c
When you reply, please include a clear listing of at least one of your efforts on each of these exercises. Thank you!Need help with these 2 problems [spent hours on them]
If you haven't yet encountered "squaring" (something that is usually covered in pre-algebra), then I'm not sure how you might be expected to work with these rational equations (something that is usually covered in pre-calculus). Have you ever heard of "quadratics" at all?
By the way, your formatting is unclear. You posted these:
For exercise (1), did you mean any of the following?
. . . . .\(\displaystyle \mbox{i. If }\, x\, +\, \dfrac{1}{y}\, =\, a\, +\, \dfrac{1}{b},\, \mbox{ then prove...}\)
. . . . .\(\displaystyle \mbox{ii. If }\, \dfrac{x\, +\, 1}{y}\, =\, a\, +\, \dfrac{1}{b},\, \mbox{ then prove...}\)
. . . . .\(\displaystyle \mbox{iii. If }\, \dfrac{x\, +\, 1}{y}\, =\, \dfrac{a\, +\, 1}{b},\, \mbox{ then prove...}\)
. . . . .\(\displaystyle \mbox{iv. If }\, x\, +\, \dfrac{1}{y}\, =\, \dfrac{a\, +\, 1}{b},\, \mbox{ then prove...}\)
Same question for the right-hand side of exercise (1).
When you reply, please include a clear listing of at least one of your efforts on each of these exercises. Thank you!
Hint: Square both sides
From the graphic, the exercise is as follows:To : Stapel
I meant this \(\displaystyle \mbox{i. If }\, x\, +\, \dfrac{1}{y}\, =\, a\, +\, \dfrac{1}{b},\, \mbox{ then prove...}\)
From the graphic, the exercise is as follows:
. . . . .\(\displaystyle \mbox{1. If }\, x\, +\, \dfrac{1}{y}\, =\, a\, +\, \dfrac{1}{b},\)
. . . . . . . . . .\(\displaystyle \mbox{then prove that }\, x^2\, +\, \dfrac{1}{y^2}\, =\, a^2\, +\, \dfrac{1}{b^2}.\)
You'd previously spent "hours" on this, and now it's been days. What have you tried? Please provide at least one example of your efforts so far, so we can get a feel for what's going on. For instance, you applied the hint you were given in the first response (squaring both sides), and... then what? Thank you!
I don't understand what you're doing in the graphic...? It looks like you're starting with what you're supposed to end with, and then are trying to prove... I'm not sure what...?Well I got stuck in here (take a look in the attachment), that doesn't look like a '0' to me and I have attached a copy of my frustrated calculation, where I was trying to get the value of ab but failed miserably.
I'm not quite sure what you mean in 1.Need help with these 2 problems [spent hours on them]
1. If x+1/y=a+1/b then prove, (x^2) +1/(y^2)= (a^2) +1/(b^2)
2. If a^2+b^2+c^2=ab+bc+ca then prove a=b=c