Determine the greatest intergral value of k for which 2x^2 - kx +2 =0 will have non-real roots quadratic inequalities to determine the solution

Greatest integral value of K = 3.

Step-by-step explanation:

The nature of the roots of a quadratic equation is determined by the sign of the discriminant, b^2 - 4ac.  For non-real roots this is negative.

2x^2 - kx + 9 = 0

The discriminant = (-k)^2 - 4*2*2 , so:

k^2 - 16 < 0  for non-real roots.

k^2 < 16

k <  √16

k  < 4

So the answer is 3.

The greatest integral value is 8.

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step-by-step explanation:

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77

step-by-step explanation: