solve i) 5/x+2-3/x-2=2/x
Answers
Step-by-step explanation:
If,
x=2 (I did not take 1 because it would've changed nothing)
Then,
5/x + 2 - 3/x -2 = 2/x (Question)
= 5/2 + 2 - 3/2- 2 = 2/2
= 5/2 + 4/2 - 3/2 - 4/2 = 2/2
= 9/2 - 3/2 - 4/2 = 2/2
= 9/2 - 7/2 = 2/2
= 2/2 = 2/2
And if,
x= 12 (Taking a random number just to check)
Then,
5/x + 2 - 3/x -2 = 2/x (Question)
= 5/12 + 2 - 3/12 - 2 = 2/12
= 5/12 + 24/12 - 3/12 - 24/12 = 2/12
= 29/12 - 3/12 - 24/12 = 2/12
= 29/12 - 27/12 = 2/12
= 2/12 = 2/12
(Taking another number just to be sure)
So if x= 7,
5/x + 2 - 3/x - 2 = 2/x (Question)
= 5/7 + 2 - 3/7 - 2 = 2/7
= 5/7 + 14/7 - 3/7 - 14/7 = 2/7
= 19/7 - 3/7 - 14/7 = 2/7
= 19/7 - 17/7 =2/7
= 2/7 = 2/7
Answer:
So, basically all real numbers are solutions for this equation.
(Don't think this answer is long, i'm just checking if any value of x satisfies this equation. [Challenging question by the way !!!] )