the root of quadratic equation 9x^2+3k x+ 4 = 0 are equal if k is??
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Answer:
given quadratic equation is, 9x² + 3kx + 4 = 0
here,
a = 9 , b = 3k , c = 4
there is a condition for equal roots
that is, b² - 4ac = 0
=> ( 3k)² - 4*9*4 = 0
=> 9k² = 16*9
=> k² = 16
= > k = =√16 = ± 4
so, for equal roots,
k = 4 or , -4 .
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