The value(s) of k for which the quadratic

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Solution

Q.
The value(s) of k for which the quadratic equation $2 x ² + k x + 2 = 0$ has equal roots, is/are

1 4

2 $\pm 4$

3 -4

4 0

Ans.
(2)

Given quadratic equation is $2 x ² + k x + 2 = 0 .$
For equal roots, discriminant = 0.

$\Rightarrow k ² - 4 \times 2 \times 2 = 0 \Rightarrow k ² - 16 = 0 \Rightarrow k = \pm 4$

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