Okay... so here's the deal
It's given
S1 + S2 = 16 ---------- Eqn. (1)
And S1 X S2 = 3(S1 + S2) = 3 X 16 = 48 -------- Eqn. (2)
The answers are S1 = 12 & S2 = 4. It says solving the eqns (1) & (2)
I don't understand how the answers can be ontained by solving (1) & (2). Exactly how can the eqns be solved??
I tried squaring both the sides in Eqn. (1). But that just brings the the square term which I need to eliminate. The way I did gave me two answers for each of S1 & S2.
However, the answers are only two, not four.
Please help.
Thanks for your reply Dan.
Well, yeah, this is a quadratic equation. But there's only one set of solutions [S1 = 12 & S2 = 4]. Had there been two sets of solutions, as you have already shown, shouldn't they have been mentioned in the solution book? But there's only 1 set, which is why I'm getting confused.
See, it's about the specific gravities of two substances in an alloy, where S1 & S2 represent the sp. gravities of the 1st & 2nd substances respectively. Now one substance can't have to sp. gravities, can it?
Is there any other way you can get only one set of solutions?