
I need some help with the following problems:
 Show that the product of the solutions of ax^{2} + bx + c = 0 is c/a.
 For each equation under the given condition,
(a) find k and
(b) find the other solution.
kx^{2}  2x + k = 0; one solution is 3
Hi,
For question 1 first divide both sides by a to get
x^{2} + ^{b}/_{a}x + ^{c}/_{a} = 0
Suppose that the solutions are p and q, then
x^{2} + ^{b}/_{a}x + ^{c}/_{a} = (x  p)(x  q) = 0
Multiply (x  p)(x  q) to find p times q.
For question 2, use what you know from question 1. The product of the sulutions is ^{c}/_{a} and in this equation a = c = k. Thus the product of the solutions is ^{k}/_{k} = 1.
Cheers,
Penny
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