what the hell is this 🔥
#What does this even mean, it doesn't even work ❤😭
subtle flame
im guessing -b/2a is the x coordinate of the quadratic's turning point
and c - b^2/4a^2 is the y coordinate
oh wait its literally just in completed square form
subtle flame
are you using it correctly
polar trellis
I mean it's just a general form of completing the square
but you wouldn't use or remember the general form
you'd just complete the square using a method
polar trellis
3x²+5x+15
3(x+(5/2(3))²+(15-((5²)/4(3)²)
,w simplify 3(x+(5/2(3))²+(15-((5²)/4(3)²)
nocturne lanceBOT
polar trellis
ugh brackets
3(x+5/2(3))²
so
it's actually too long
you just sub the numbers in
why lol
what's the intrinsic need for it
you should already know how to complete the square from gcse
3(x²+5/3x+5)
so 3[ (x+5/6)²-25/36 + 5 ]
3[(x+5/6)²+155/36]
3(x+5/6)²+155/12
which would be the same as using the general form, just without having to remember the general form
short furnace
all i recognise is a quadratic expression 😭
polar trellis
all i recognise is a quadratic expression 😭
completing the square
short furnace
completing the square
What square
polar trellis
What square
it's essentially trying to create a perfect square, like (x+a)², from a general quadratic in the form ax²+bx+c
but obviously, not all quadratics have a perfect square, so a constant term is added to 'balance' it out and create that perfect square
it's used mostly at GCSE for solving quadratics and finding the turning point of a quadratic
short furnace
perfect square as in all equal sides?
polar trellis
perfect square as in all equal sides?
you can think of it that way:
but algebraically a perfect square is factorising a quadratic into an expression where if you expanded that expression, you get back to the quadratic
short furnace
ooh ok#
lethal wren
fixed
subtle flame
oh no worries
self teaching an entire a level tho
damn
dont you go college or smth
vague jewel
Self teaching > clears
magic ridge