Find the values of k for which the quadratic ploynomial 9x^2-3kx+k=0 has equal roots
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Here's your answer
If roots are equal then the Discriminant is equal to 0
Eqn.: 9x² - 3kx + k = 0
a = 9
b = -3k
c = k
Discriminant = b² - 4ac
Since the roots are equal, b² - 4ac is = 0
(-3k)² - 4 * 9 * k = 0
9k² - 36k = 0
9k ( k - 4 ) = 0
9k = 0 , k - 4 = 0
So k = 0 and 4
Hope it helps!!
Cheers!!
____________________________________________________________________________________________________________________
Here's your answer
If roots are equal then the Discriminant is equal to 0
Eqn.: 9x² - 3kx + k = 0
a = 9
b = -3k
c = k
Discriminant = b² - 4ac
Since the roots are equal, b² - 4ac is = 0
(-3k)² - 4 * 9 * k = 0
9k² - 36k = 0
9k ( k - 4 ) = 0
9k = 0 , k - 4 = 0
So k = 0 and 4
Hope it helps!!
Cheers!!
____________________________________________________________________________________________________________________
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