Question

what is value of k, if the rooy of 2
$2x {}^{2} - 6x + k = 0 \: are \: real \: and \: equal$


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Answer 1

Roots are real and equal means.

∆ = 0

b²-4ac = 0

6² - 4 × 2 × k = 0

36 - 8k = 0

36 = 8k

36/8 = k

9/2 = k