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

Posted by Abhishek Gupta 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 4 months ago

Answer:

k = 4

Step-by-step explanation:

Our given equation is :

9 x² - 3 k x + k = 0

Comparing with a x² + b x + c = 0 we get :

a = 9

b = - 3 k

c = k .

Whenever we are told that the equation has equal roots then :

b² = 4 a c

This method can be used effectively to calculate the value of k .

( - 3 k )² = 4 ( 9 ) ( k )

⇒ 9 k² = 36 k

⇒ k² = 36 k / 9

⇒ k² = 4 k

⇒ k = 4

The value of k is 4 .

2Thank You

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