If the sum and product of the roots of the equation kx² + 6x + 4k = 0 are real, then k = (a) (b) (c) (d)
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SOLUTION :
Option (a) is correct : - 3/2
Given : kx² + 6x + 4k = 0 and sum and product of roots are equal.
On comparing the given equation with ax² + bx + c = 0
Here, a = k , b = 6 , c = 4k
Sum of roots = - b/a
Sum of roots = - 6/k
Product of roots = c/a
Product of roots = 4k/k
Product of roots = 4
Given : sum of roots = Product of roots
-6/k = 4
4k = - 6
k = -6/4
k = - 3/2
Hence, the value of k is - 3/2.
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