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If 4-x/x-2=-3/x , then x could be equal to which of the foll
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17 Nov 2020, 07:39
17 Nov 2020, 07:39
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Question Stats:
90% (00:59) correct
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If \(\frac{4-x}{x-2}=-\frac{3}{x}\) , then x could be equal to which of the following ?
A. 10
B. 9
C. 8
D. 7
E. 6
Kudos for the right solution and explanation
A. 10
B. 9
C. 8
D. 7
E. 6
Kudos for the right solution and explanation
Re: If 4-x/x-2=-3/x , then x could be equal to which of the foll
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17 Nov 2020, 09:07
17 Nov 2020, 09:07
1
Carcass wrote:
If \(\frac{4-x}{x-2}=-\frac{3}{x}\) , then x could be equal to which of the following ?
Kudos for the right solution and explanation
Kudos for the right solution and explanation
After cross multiplying x to the left and x-2 to the right we get 4x-x^2 = -3x+6
Bringing everything to the right, we get 0 = x^2 -7x + 6
Simplifying further we get 0 = (x-6)(x-1)
So, x can have 2 values, 1 and 6.
6 is in the options. The answer is 6.
Re: If 4-x/x-2=-3/x , then x could be equal to which of the foll
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17 Nov 2020, 22:57
17 Nov 2020, 22:57
1
Carcass wrote:
If \(\frac{4-x}{x-2}=-\frac{3}{x}\) , then x could be equal to which of the following ?
A. 10
B. 9
C. 8
D. 7
E. 6
Kudos for the right solution and explanation
A. 10
B. 9
C. 8
D. 7
E. 6
Kudos for the right solution and explanation
If 6 is substituted for x we get, 4-6/6-2= -3/6
-2/4 = -1/2
-1/2 = -1/2.
Option E is the right answer.
