solve : 1/x-3 +1/x-7=1/x-1+1/x-9
Answers
Answered by
11
1/x-3+1/x-7=1/x-1+1/x-9
1/x+(-3-7)=1/x+(-1-9)
1/x+(-10)=1/x+(-10)
1-10x/x = 1-10x/x
1-10x =1-10x
1-1=0
0=0
L.H.S =R.H.S
HENCE PROVED
THANK YOU!
1/x+(-3-7)=1/x+(-1-9)
1/x+(-10)=1/x+(-10)
1-10x/x = 1-10x/x
1-10x =1-10x
1-1=0
0=0
L.H.S =R.H.S
HENCE PROVED
THANK YOU!
Akshaymas:
plz mark as brainliest
actually you can get the answer in third step by cancelling each sides
but for understanding i have wrote upto 0
plz mark as brainliest
Answered by
5
x = 5
Step-by-step explanation:
Given,
1/(x - 3) + 1/(x-7) = 1/(x - 1) + 1/(x - 9)
⇒ [(x - 7) + (x - 3)]/(x^2 - 10x + 21) = (2x -10)/(x^2 - 10x + 9)
⇒ (2x -10)/(x^2 - 10x + 21) = (2x -10)/(x^2 - 10x + 9)
⇒ (2x -10) (x^2 - 10x + 9) = (2x -10) (x^2 - 10x + 21)
⇒ (2x -10) (x^2 - 10x) + (2x - 10)9 = (2x - 10) (x^2 - 10x) + (2x-10)21
by cancelling, (2x -10) and (x^2 - 10x) on both sides, we get;
⇒ 18x - 90 = 42x - 210
⇒ 24x = 120
⇒ x = 120/24
⇒ x = 5
Thus, the value of x is 5.
Learn more: find the value of x
brainly.in/question/12658636
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