Question
A and B are the roots of equation x2 - 13x +
k = 0. If A - B = 5, what is the value of k?Solution
We know that the difference of roots is given by {ā(b2 ā 4ac)}/a, Here, a = 1, b = -13 and c = k Therefore, A ā B = (ā(b2 ā 4ac))/a 5 = (ā((-13)2 ā 4 x 1 x k))/1 Squaring both the side we get, 25 = 169 ā 4k 4k = 169 ā 25 k = 144/4 = 36
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