What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots?
Correct answer: C
Explanation
Any quadratic equation will have real and distinct roots if the discriminant D > 0
The discriminant 'D' of a quadratic equation ax2 + bx + c = 0 is given by b2 - 4ac
In this question, the value of D = 52 - 4 * 1 * k
If D > 0, then 25 > 4k or k < 6.2.
Therefore, the highest integral value that k can take is 3.
correct choice is (C)
Loading…
Searched on YouTube by reporting category, not by question text. Open this search on YouTube →
AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.