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  • If  is an identity in a, then the value that x can take is/are

If a^2x^2+(a-1)x+a=0 is an identity in a, then the value that x can take is/are

Option: 1

All real numbers


Option: 2

0,1


Option: 3

0


Option: 4

No value


Answers (1)

best_answer

Identity in a, so re-arrange equation

a^2x^2+ax-x+a=0

(x^2)a^2+(x+1)a-x=0

For identity

x^2=0\Rightarrow x=0

x+1=0\Rightarrow x=-1

-x=0\Rightarrow x=0

So, no common value of x.

\Rightarrow No value of x makes all these 3 coefficents zero simutaneously.

So, no value of x.

Posted by

mansi

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