Two number that multiply to 24 and add up to minus 11
Hello,
Let's x and y the 2 numbers
xy=24
x+y=-11==>x=-11-y
==> (-11-y)y=24
==>-11y-y²-24=0
==>y²+11y+24=0
Δ==11²-424=25=5²
y=(-11+5)/2 or y=(-11-5)/2
==>(y=-3 and x=-11+3) or (y=-8 and x=-11+8)
Sol={(-8,-3),(-3,-8)}
The 2 numbers are -3 et -8.