Question

find the value of k quadratic equations 9xsqaure-3kx+k=0

Answer 1

If the equation have equal roots then it's discriminant will be equal to Zero

that is D = 0

And D = b² - 4ac

Here

a = 9

b = -3k

c = k

D = b² - 4ac

0 = ( - 3k )² - 4 × 9 × k

0 = 9k² - 36 k

0 = 9k ( k - 4 )


• 9k = 0

k = 0


• ( k - 4 ) = 0

k = 4


So ,

For both the value of k the equation have equal roots ...