What is the largest integral value of 'k' for which the quadratic equation x2 - 6x + k = 0 will have two real and distinct roots? Choose the correct choice from the following answers: A) 9 B) 7 C) 3 D) 8 E) 12
Explanatory Answer   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 = 62 - 4 * 1 * k   If D &gt; 0, then 36 &gt; 4k or k &lt; 9.   Therefore, the highest integral value that k can take is 8.   correct choice is (8)
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What is the largest integral value of 'k' for which the quadratic equation x2 - 6x + k = 0 will have two real and distinct roots?