At least 1 is Complex

Level pending

At least one of the two quadratic equations x 2 2 a x + 4 = 0 and x 2 2 a x + 2 a + 3 = 0 x^2-2ax+4=0\;\;\textrm{and}\;\; x^2-2ax+2a+3=0 has complex, non-real roots. How many integers a a will satisfy the condition?

1 1 4 4 2 2 3 3

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1 solution

Alexander Sludds
Mar 3, 2014

Apply quadratic discriminant to both equations. Find the integers that makes one their discriminates negative.

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