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The value of k for which …

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The value of k for which the quadratic equation 2 X square + kx + 2 equal to zero has equal roots

Posted by Dajshay Prithiv 5 years, 8 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 8 months ago

Given, equation is x² + kx + 2 = 0

Given, roots are equal, so its discriminant value will be equal to zero

=> D = 0

=> b² - 4ac = 0 .............1

On comapring the given equation with ax² + bx + c = 0, we get

a = 1, b = k, c = 2

From equation 1, we get

=> (k)² - 4 * 1 * 2 = 0

=> k² - 8 = 0

=> k² = 8

=> k = ±√8

=> k = ±2√2

So, the value of k is k = ±2√2

0Thank You

Śěřãj The Cute? 5 years, 8 months ago

K =4

0Thank You

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