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@scientia I am sorry too, for being so rude
debjit625, I'm sorry for my bad-tempered post above. I suppose I had had a bad day and somehow let it spill over onto the forum. It was totally wrong of me and I apologize.
Anyway, "condition" simply means something that has to be fulfilled in order for a given statement to be true. For example, suppose the question was: "What's the condition under which the quadratic equation , , has no real roots?" Then the condition would be: . In order for the statement ", , has no real roots" to be true, the condition has to be fulfilled.
In this particular question, the statement is " () has roots in the ratio ". In order for this to be true, we must have . This is the condition that has to be fulfilled in order for the given statement to be true.
Debjit, are you a bengali?
scientia ,if you can read English and understand it then look at post #4 ,I appreciated your work ,I thanked you...
Yes, in general I speak English and understand it properly, but this question is not very much clear and I think bobbym also agreed with me on #7
And you just solve the equation ,that what you did in my case ,will not answer his/her question, you need to explain him/her what does the roots means in an quadratic equation.
You knew what I asked for... but you yourself don’t understand the question clearly, posting the solution doesn’t means you know about it, their are many books where you will find this question and its solution.
Now the main thing, please please please please never ever try to help me again in future ,just stick with your bed and have good dreams...
What the bleep is wrong? The question asks for the condition under which certain things hold. I worked out and gave the condition. Just what are you not happy with?
Look. You asked a question. I took the time to help you with it. It was late, I could have gone to bed, but I stayed up to help you. Is this the gratitude I get in return?
I had also never seen this kind of stuff earlier...
Let and be the two roots of the equation
Now, ---Eq 1
and ---Eq 2
From Eq 1 we have ,
or , --- By Eq2
which is the required condition
I have seen that...
But still I am confused... I think I have to think about some more time...
Ok I think you guys didn't understood what I was asking for...
Let the roots be and . Thus
as the required condition.
have roots in the ratio .
with r1 being an arbitrary root.