Algebra

[deft flower]

pls help (I'm cooked)

[waxen horizon]

Dont u just do it

Is this non calc

[deft flower]

calculator

i got this

[quaint agate]

is it correct then

[deft flower]

cant be minsu cuz x>0 and y> 0

answer is 5:2

but

idk why

what did i just find out

i got no clue

let me sub x =2 int othe equation

got 5:2 by subing in a random value

ig thats allowed then

[valid tapir]

hold up i got an algebraic way

show it later

[valid saddle]

you're meant to just factorise it
6x^2 - 7xy - 20y^2 = 0
(3x + 4y)(2x - 5y) = 0
3x = -4y
2x = 5y
both are positive so it has to be 2x = 5y
2x = 5y
x/y = 5/2
x:y = 5:2

[valid tapir]

Yeah this is what I did

[valid saddle]

the quadratic formula method is correct its just a bit scuffed witht the y variables

[valid tapir]

I wouldn’t do trial and error unless it was something like iteration

[valid saddle]

oh wait is that trial and error

i didnt see

if there is trial and error included in that then ye dont do that

[deft flower]

oh at the time i got stumped because I didn't know how to factorise it
Well it isn't that i didn't know its just that i never done it with 2 terms
but i did it like that and got the same as you so ye

ty

[waxen horizon]

How do u factorise when theres 2 letters

[proud pagoda]

just forget about y and write a quadratic in terms of x then factorise that

Then just plug in y into ur two factors

[deft flower]

idk i did 6*-20 to get -120 then i got 2 numbers -15 and 8
but its xy so i did -15xy and +8xy then i just factorised

[deft flower]

prolly this is better

@waxen horizon