The value of $p < 1$ satisfying $2 (p^{2} + 1) - 5 p = 0$ is

0.5

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0.75

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0.25

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0.1

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Solution

The correct option is B $0.5$
Given equation is: $2 (p^{2} + 1) - 5 p = 0$
$2 p^{2} + 2 - 5 p = 0$
$2 p^{2} - 4 p - p + 2 = 0$
$2 p (p - 2) - (p - 2) = 0$
$(2 p - 1) (p - 2) = 0$
$p = \frac{1}{2} = 0.50$
$p = 2$
But in question $p < 1$
Then $p = 0.50$

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