Question

If the product of the zeroes of x² - 3kx + 2k1 - 1 is 7, then values of k are ________ and ______
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Answer 1

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$Compare \:the \: polynomial\\ x^{2}-3kx+2k^{2}-1 \:with \:ax^{2} + bx + c, we \:get$

$a = 1 , \: b = -3k , \: c = 2k^{2} - 1$

$Now, Product \: of \: zeroes = 7 \:(given)$

$\implies \frac{c}{a} = 7$

$\implies \frac{2k^{2} - 1}{1} = 7$

$\implies 2k^{2} = 7 + 1$

$\implies 2k^{2} = 8$

$\implies k^{2} = \frac{8}{2}$

$\implies k^{2} = 4$

$\implies k = \pm {2^{2}}$

$\implies k = \pm 2$

Therefore.,

$\green { Values \: of \: k \:are \:-2 \:and \: 2 }$

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Answer 2

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k = +2

k = -2