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Original post by monisj1
i am confused?


Your equation is (k^2+1)x^2 - 6kx +4=0
Compare this with ax^2+bx+c=0,
What does a=?
B=?
C=?

Substitute these into the discriminant
Reply 21
Original post by Underthecandle
Your equation is (k^2+1)x^2 - 6kx +4=0
Compare this with ax^2+bx+c=0,
What does a=?
B=?
C=?

Substitute these into the discriminant


A=K^2+1
B=-6KX
C= 4

b^2= 36k^2x^2?
Original post by monisj1
A=K^2+1
B=-6KX
C= 4

b^2= 36k^2x^2?


A and C are right but why is B=-6kX?
B should just be -6k
Reply 23
Original post by Underthecandle
A and C are right but why is B=-6kX?
B should just be -6k



or b=-6K??
Original post by monisj1
or b=-6K??


Yeah B=-6k. Now Substitute a,b and c into the discriminant
Reply 25
Original post by Underthecandle
Yeah B=-6k. Now Substitute a,b and c into the discriminant



so

36k^2-16K^2-4>0

16k^2>4

k> 2/8
Reply 26
Original post by Underthecandle
Yeah B=-6k. Now Substitute a,b and c into the discriminant



sorry thats wrong
Original post by monisj1
so

36k^2-16K^2-4>0

16k^2>4

k> 2/8


Not quite the 4 should be a 16, must have just forgot to multiply by the second 4. And 36-16=20

Also when you have 20k^2-16>0 draw this graph to find the ranges of k
Reply 28
Original post by Underthecandle
Not quite the 4 should be a 16, must have just forgot to multiply by the second 4. And 36-16=20

Also when you have 20k^2-16>0 draw this graph to find the ranges of k



is K 4 / 2 square root 5?
Original post by monisj1
is K 4 / 2 square root 5?


K can be a range of values.

Try scetching the graph of y=20k^2-16. The range of values k can be will be the parts of the graph where y>0
Reply 30
Original post by Underthecandle
K can be a range of values.

Try scetching the graph of y=20k^2-16. The range of values k can be will be the parts of the graph where y>0



don't you work out K then sketch the graph?
Original post by monisj1
don't you work out K then sketch the graph?


You work out where the graph crosses the axis first, is that what you mean?
Reply 32
Original post by Underthecandle
You work out where the graph crosses the axis first, is that what you mean?



what is your final answer?
Original post by monisj1
what is your final answer?


I have two ranges that k can be.

Where have you got up too? Have you got a range for k? Or have you got a graph?
Reply 34
Original post by Underthecandle
I have two ranges that k can be.

Where have you got up too? Have you got a range for k? Or have you got a graph?


i got K>+2 root 5 and K< - 2 root 5
Original post by monisj1
i got K>+2 root 5 and K< - 2 root 5


Is that 2/root5 or 2 x root 5?
Reply 36
Original post by Underthecandle
Is that 2/root5 or 2 x root 5?


just 2 root 5
Original post by monisj1
just 2 root 5


Try putting k=1 in 20k^2-16 and you'll get it is bigger than 0 but 1 isn't in your ranges. I think you've done the right working but just done a small error in the calculations at the end.
Reply 38
[QUOTE="Underthecandle;50698037"]Try putting k=1 in 20k^2-16 and you'll get it is bigger than 0 but 1 isn't in your ranges. I think you've done the right working but just done a small error in the calculations at the end.[/QUOTE


i give up
[QUOTE="monisj1;50698113"]
Original post by Underthecandle
Try putting k=1 in 20k^2-16 and you'll get it is bigger than 0 but 1 isn't in your ranges. I think you've done the right working but just done a small error in the calculations at the end.[/QUOTE


i give up


But your sooo close. When you solve 20k^2-16=0 what did you get?

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