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Find the value of k so that 2x find the value of k so that 2 X square + kx + 3 is equal to zero

Posted by Devanand Ray Ray 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

2x² + kx +3=0
We know that quadratic equation has two equal roots only when the value of discriminant is equal to zero.
Comparing equation 2x² +kx +3=0 with general quadratic equation ax² + bx + c =0, we get a = 2, b = k and c = 3
Discriminant = b²− 4ac = k² - 4(2)(3) = k²-24
Putting discriminant equal to zero
k² - 24 = 0 ⇒ k² = 24
{tex}\Rightarrow k = \pm \sqrt { 24 } = \pm 2 \sqrt { 6 } \Rightarrow k = 2 \sqrt { 6 } , - 2 \sqrt { 6 }{/tex}

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CBSE > Class 10 > Mathematics