The average of a non-zero number and its square is $5$ times the number. The number is

9

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17

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29

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295

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Solution

The correct option is C $9$
Ans, $\frac{a + a^{2}}{2} = 5 a$
$\Rightarrow a + a^{2} = 10 a$
$\Rightarrow a^{2} = 9 a$
$∴ a = 9$
Hence, number is '9'

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The average of a non-zero number and its square is $5$ times the number. The number is

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Ans, $\frac{a + a^{2}}{2} = 5 a$
$\Rightarrow a + a^{2} = 10 a$
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$∴ a = 9$
Hence, number is '9'