Find k for which the given quadratic equation 9x2+3kx+4=0 has distinct roots
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Given:
9x^2 + 3kx + 4 = 0
a = 9, b = 3k & c = 4
Condition to have real & distinct roots is Discriminant > 0
Discriminant = b^2 - 4*a*c > 0
(3k)^2 - 4*9*4 > 0
9k^2 - 16*9 > 0
k^2 - 16 > 0
k^2 > 16
k > +/- 4
9x^2 + 3kx + 4 = 0
a = 9, b = 3k & c = 4
Condition to have real & distinct roots is Discriminant > 0
Discriminant = b^2 - 4*a*c > 0
(3k)^2 - 4*9*4 > 0
9k^2 - 16*9 > 0
k^2 - 16 > 0
k^2 > 16
k > +/- 4
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