Question

For what value or values of k will the roots of 3x2−2kx+3=0 be equal?

Answer 1

Step-by-step explanation:

Given equation is

$3 {x}^{2} - 2kx + 3 = 0$

Here a = 3, b = -2k, c = 3,

For equal roots,

${b}^{2} - 4ac = 0$

${( - 2k)}^{2} = 4 \times 3 \times 3$

$4 {k}^{2} = 36$

${k}^{2} = 9$

$k = + 3 \: or \: - 3$

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