Question

Which Two Numbers Add Up To Negative 26 And Multiply To 11?

Answer 1

xy=11
x+y=-26


x+y=-26
minus x both sides
y=-26-x

sub for y
x(-26-x)=11
-26x-x^2=11
add 26x+x^2 both sides
x^2+26x+11=0

ax^2+bx+c=0
x=
`\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}`


a=1
b=26
c=11

x=
`\frac{-26+/-\sqrt{26^(2)-4(1)(11)} }{2(1)}`
x=
`(-26+/-√(676-44) )/(2)`
x=
`(-26+/-√(632) )/(2)`
x=
`(-26+/-2√(158) )/(2)`
x=
`-13+/-√(158)`

x=
`-13+√(158)` or
`-13-√(158)`

aprox

x=-0.420195 or -25.5698

those are the numbers