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Question

If x+ax = 1, then the value of x2+x+ax3x2 is


A

-1/a

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B

-2/a

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C

-3/a

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D

Can't be determined

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E

None of these

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Solution

The correct option is B

-2/a


x + ax = 1

x2​​ + a = x....(1)

x2​​ - x = -a....(2)

Now, (x2​​ +x+a)/(x3​​ -x2​​ )​ = 2x/[x(x2​​ -x)]

= 2/(-a) [From (1) and (2)]

= -2/a


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