x+1/x-1+x-2/x+2=3
. please solve this question for me
Answers
Step-by-step explanation:
What is the solution of (x+1)(x+2)(x+3)(x+4)=120?
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26 Answers
Amitabha Tripathi, over four decades of high school Algebra
Answered July 20, 2017 · Upvoted by Michael Jørgensen, PhD in mathematics · Author has 2.8K answers and 4.3M answer views
Originally Answered: What is the solution of (x+1)(x+2)(x+3)(x+4)=120?
From
120=(x+1)(x+2)(x+3)(x+4)=((x+1)(x+4))((x+2)(x+3))
=((x2+5x+5)−1)((x2+5x+5)+1)…(1)
=(x2+5x+5)2−1,
we get x2+5x+5=±11.
Thus x2+5x−6=0 or x2+5x+16=0. The first of these give x=1 or x=−6. The second of these give x=12(−5±−39−−−− like this way you can solve