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If x=3 is one root of the quadratic of x x -2k -6=0 then find the value of k

Posted by Vishesh Basoya 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

Given quadratic equation is x² - 2kx - 6 = 0
If x = 3 is one root of the equation,
then (3)² - 2k(3) - 6 = 0
{tex}\therefore{/tex} 9 - 6k - 6 = 0
{tex}\Rightarrow{/tex}-6k = -3
{tex}\Rightarrow{/tex} k = {tex}\frac{1}{2}{/tex}

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