What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots? Choose the correct option
A) 9
B) 7
C) 3
D) 8
E) 12
Any quadratic equation will have real and distinct roots if the discriminant D &gt; 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 &gt; 0, then 25 &gt; 4k or k &lt; 6.2.   Therefore, the highest integral value that k can take is 3.   correct choice is (3)
<result>C</result>
What is the largest integral value of 'k' for which the quadratic equation x2 - 5x + k = 0 will have two real and distinct roots?