Question

I need help and i dont know how to do the work of it​

Answer 1

Explanation:

`xy=5, y=-2x-8`
Using substitution,

`x(-2x-8)=-5\\-2x^(2)-8x=-5\\2x^(2)+8x-5=0\\x=\frac{-8 \pm \sqrt{8^(2)-4(2)(-5)}}{4}\\x=(-8 \pm √(104))/(4)\\x=-2 \pm √(13/2)`

So, if
`x=-2+√(13/2)`, y=
`-2(-2+√(13/2))-8=4-√(26)`

And if
`x=-2-√(13/2)`,
`y=-2(-2-√(13/2))=√(26)-4`