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Quadratic Formula

If a2-1x2+a...

Question

If $(a^{2} - 1) x^{2} + (a - 1) x + a^{2} - 4 a + 3 = 0$ be an identity in $x$ , then the value of a is/are ?

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Solution

The correct option is B $1$
$(a^{2} - 1) x^{2} + (a - 1) x + a^{2} - 4 a + 3 = 0$
$(a - 1) [(a + 1) x^{2} + x + (a - 3)] = 0$
$a = 1$ .

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