#Help me solve this
drifting burrow
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mystic lantern
Hm... Well, one of the ways to do this is bring one of the equations to the canonical form (preferably the second one, as it's simpler), then parametrize it and solve for the values of the parameter using the other equation.
drifting burrow
Can u solve it? 🥺
mystic lantern
Can u solve it? 🥺
No. We don't provide full solutions here. Use the hint I gave you.
drifting burrow
🥺
mystic lantern
Oh, alternatively, you can also do the following.
Replace I by I + kII and II by I - kII:
(1 + k)x^2 + (7/2 + k)xy + (2k - 1/2)y^2 = 42 + 32k
(1 - k)x^2 + (7/2 - k)xy + (-2k - 1/2)y^2 = 42 - 32k
Now, pick one of the equations and find such a value of k that it becomes a perfect square. Then it will be easy to express one of the variables from that equation.
wary pagoda
You got it?
drifting burrow
You got it?
No 😔
barren marsh
PLUG THIS MF INTO DESMOS YEAHHHHH
mystic lantern
PLUG THIS MF INTO DESMOS YEAHHHHH
Why? This can be done analytically.
In two ways, at least.
drifting burrow
Why? This can be done analytically.
Can you do it?
mystic lantern
Can you do it?
Have you tried any of the two approaches I proposed above?
The second one is probably simpler.
barren marsh
wait so is it asking us to solve the simul equations ??
mystic lantern
Yes.