First slide

Theory of equations

Question

$The value of a if relation (a - 1) x^{2} - (a^{2} - 3 a + 2) x + a^{2} - 1 = 0 is satisfied for more than two values of x, is$

Moderate

A

-1
B

2
C

1
D

3

Solution

The equation is identity.
$\begin{array}{l} ∴ a - 1 = 0, a^{2} - 3 a + 2 = 0 and a^{2} - 1 = 0 \\ Common value is a = 1 . \end{array}$

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