Question:
Very-Short-Answer Questions
If the roots of the quadratic equation $2 x^{2}+8 x+k=0$ are equal then find the value of $k$.
Solution:
It is given that the roots of the quadratic equation $2 x^{2}+8 x+k=0$ are equal.
$\therefore D=0$
$\Rightarrow 8^{2}-4 \times 2 \times k=0$
$\Rightarrow 64-8 k=0$
$\Rightarrow k=8$
Hence, the value of k is 8.
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