Question

find value of k of polynomial 9x^2-3kx+k has equal zeros
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Answer 1

k=0,4

pls refer my attchment:

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Answer 2

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$Find\ value\ of \ k\ of\ polynomial\ 9x^2-3kx\\ +k\ has\ equal\ zeroes$

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$\huge{\bigstar}{ \green{ \mathfrak{ \underline{ \underline{Answer}}}}}{\bigstar}$

$\boxed{\red{\bold{Given:}}}$

《☆Zeroes of p(x) are equal☆》

$\purple{\implies discriminant = 0}$

$\purple{\implies}d=0$

$\purple{\implies}b^2 -4ac = 0$

$\purple{\implies}b^2 = 4ac$

$\green{\implies (-3k)^2 = 4 × 9 × k}$

$\green{\implies 9k^2 = 4 × 9 × k}$

$\green{\boxed{\implies{\boxed{k = 4}}}}$

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