For what values of k will the quadratic −3x^2 −4x +k = 0 have 2 imaginary solutions?

epifizamvg

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2022-09-02

For what values of k will the quadratic 3 x 2 4 x + k = 0 have 2 imaginary solutions?

Answer & Explanation

ekhonawy

ekhonawy

Beginner2022-09-03Added 6 answers

If a x 2 + b x + c = 0
then if b 2 4 a c < 0
there exist two imaginary solution
we have 3 x 2 4 x + k = 0a=-3, b=-4, c=k
( 4 ) 2 4 ( 3 ) ( k ) < 0 16 + 12 k < 0 12 k < 16 k < 16 12 k < 4 3
For k less than 4 3
quadratic equation have 2 imaginary solution.

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