Find the valu of k if 9x^2-3kx+k = 0 has equal roots

1.	Find the valu of k if 9x^2-3kx+k = 0 has equal roots
Answer» Answer:k = 4Step-by-step explanation:Our given equation is :9 x² - 3 k x + k = 0Comparing with a x² + b x + c = 0 we get :a = 9b = - 3 kc = k .\xa0Whenever we are told that the equation has equal roots then :b² = 4 a c\xa0This method can be used effectively to calculate the value of k .\xa0( - 3 k )² = 4 ( 9 ) ( k )⇒ 9 k² = 36 k⇒ k² = 36 k / 9⇒ k² = 4 k⇒ k = 4The value of k is 4 .

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