1.

For what values of k does the quadratic equation 4x2 -12x-k 0 haveno real roots?

Answer»

4x^2 - 12x - k = 0 The roots of quadratic equation arex= (-b ±√(b^2-4ac))/2a If b^2-4ac is less than zero the roots are not real. a = 4, b = -12, c = -k b^2 - 4ac < 0(-12)^2 - 4(4)(-k) < 0144 + 16k < 016k < -144k < - 144/16k < - 9

In interval notation: (-∞, - 9)



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