Question

find the value of k for which equation 9x^2+8kx+16=0 has equal roots.

Answer 1

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Answer 2

Quadratic equations have equal roots
When D = b² - 4*a*c = 0

Here a= 9, b= 8k and c= 16

0 = (8k)² - 4*9*16
=> 0= 64k² - 576
=> 0= [Tex]k^{2} = 9
=> k = 3

Therefore for k = 3 the quadratic equations has equal roots.

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