Original post by ashv21
Given the ellipses
2𝑥2 + (𝑦 + 2)^2 = 18
and
16𝑥2 + 9(𝑦 − 1)^2 = 25,
find the equation of the line which passes through their points of intersection
2𝑥2 + (𝑦 + 2)^2 = 18
and
16𝑥2 + 9(𝑦 − 1)^2 = 25,
find the equation of the line which passes through their points of intersection
Are you missing variables or is it just my screen?
Also, what have you tried?
Original post by Kevin De Bruyne
Are you missing variables or is it just my screen?
Also, what have you tried?
Also, what have you tried?
This is the question. I tried solving it simultaneously using substitution but one of my answers was a complex number. I dont think it is correct
Original post by ashv21
This is the question. I tried solving it simultaneously using substitution but one of my answers was a complex number. I dont think it is correct
This is the question. I tried solving it simultaneously using substitution but one of my answers was a complex number. I dont think it is correct
Please post your working
have you multiplied the top equation by 8 and subtracted both equations with each other? Work out the quadratic from there? And you get a complex number?
If this is part of an entire question progression, please post the entire question ie parts a and b prior to part c.
I'm in bed 😂😂😂 can't do this in my head unfortunately.
If this is part of an entire question progression, please post the entire question ie parts a and b prior to part c.
I'm in bed 😂😂😂 can't do this in my head unfortunately.
Original post by Kevin De Bruyne
Please post your working
Attachment not found
Original post by fp1washard
have you multiplied the top equation by 8 and subtracted both equations with each other? Work out the quadratic from there? And you get a complex number?
If this is part of an entire question progression, please post the entire question ie parts a and b prior to part c.
I'm in bed 😂😂😂 can't do this in my head unfortunately.
If this is part of an entire question progression, please post the entire question ie parts a and b prior to part c.
I'm in bed 😂😂😂 can't do this in my head unfortunately.
This is the whole question. Once of the answers is a complex number!
What part of maths are you on. AS or A2
Original post by Appleorpear
What part of maths are you on. AS or A2
A2
Original post by ashv21
Attachment not found
before you get ur quadratic equation, 112-16 is 96, not -96
Wait im still working on it, i see ur quadratic equation itself is right
(edited 6 years ago)
Original post by fp1washard
before you get ur quadratic equation, 112-16 is 96, not -96
Wait im still working on it, i see ur quadratic equation itself is right
Wait im still working on it, i see ur quadratic equation itself is right
got the answer, the line of intersection is y=2
when u substitute y=2 into one of ur equations u need to square root both sides to get 1, when u square root, u get a plus or minus 1... hence there are two real solutions.
Since the points are (1,2) and (-1,2) the line of intersection is y=2
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