Equation
5x^2 - kx + 88 = 0
Discriminant
b^2 - 4ac
(-k)^2 - 4(5)(88)
Solving
So, we're looking for the greatest k value where (-k)^2 - 4(5)(88) is negative and an integer.
(-k)^2 - 4(5)(88)
k^2 - 1760 < 0
k^2 < 1760
k < sqrt(1760)
The largest integer that fufils this is 41.
Answer
Thus, our answer is 41.
I hope this helped. :))))
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