If - 2 is a root of the quadratic equation x2 - px + 6 = 0 and x2 + p

1.	If - 2 is a root of the quadratic equation x2 - px + 6 = 0 and x2 + px - K = 0 has equal roots, then the value of k is 1) 10 2) 14 3) 6 4) 18
Answer» Correct option is 2) 14 If -2 is root of x² - px + 6 & x² + px - K = 0 then (-2)² - P(-2) + 6 = 0 ⇒ -5 Now, x²+ Px - K = 0 ⇒ (-2)² + (-5) (-2) - K = 0 ⇒ K = 14

If - 2 is a root of the quadratic equation x2 - px + 6 = 0 and x2 + px - K = 0 has equal roots, then the value of k is 1) 10 2) 14 3) 6 4) 18

Answer»

Correct option is 2) 14

If -2 is root of x² - px + 6 & x² + px - K = 0

then (-2)² - P(-2) + 6 = 0 ⇒ -5

Now, x²+ Px - K = 0 ⇒ (-2)² + (-5) (-2) - K = 0

⇒ K = 14

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If - 2 is a root of the quadratic equation x2 - px + 6 = 0 and x2 + px - K = 0 has equal roots, then the value of k is 1) 10 2) 14 3) 6 4) 18

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