Question

find the value of k if one of these zero is 1.
$f(x) = {x}^{2} - 3kx + 3x - 1$
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Answer 1

$Given \: f(x) = x^{2} - 3kx + 3x -1$

$If \: one \: zero \: is \: 1 \: then \: f(1) = 0$

$\implies 1^{2} - 3\times k \times 1 + 3 \times 1 - 1 = 0$

$\implies 1 - 3k + 3 - 1 = 0$

$\implies - 3k + 3 = 0$

$\implies - 3k = -3$

$\implies k = \frac{-3}{-3}$

$\implies k = 1$

Therefore.,

$\red{ Value \: of \: k }\green { = 1 }$

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