rashellhardyy
rashellhardyy rashellhardyy
  • 03-12-2014
  • Mathematics
contestada

What two numbers add up to 1 but multiply to -30

Respuesta :

Аноним Аноним
  • 20-12-2014
[tex]x;\ y-the\ numbers\\\\ \left\{\begin{array}{ccc}x+y=1&\to x=1-y\\xy=-30\end{array}\right\\\\subtitute\ x=1-y\ to\ second\ equation:\\\\(1-y)y=-30\\y-y^2+30=0\\-y^2+y+30=0\ \ \ \ \ |change\ signs\\y^2-y-30=0\\y^2-6y+5y-30=0\\y(y-6)+5(y-6)=0\\(y-6)(y+5)=0\iff y-6=0\ or\ y+5=0\\\Downarrow\\y=6\ or\ y=-5[/tex]

[tex]x=1-y\\\\for\ y=6\Rightarrow x=1-6=-5\\\\for\ y=-5\Rightarrow x=1-(-5)=1+5=6\\\\=======================================\\Answer:\boxed{6}\ and\ \boxed{-5}[/tex]
Answer Link

Otras preguntas

What would be the most appropriate way to cope with minor frustrations like hang-ups on a conveyor belt or annoying coworkers? A. Singing an upbeat song
How many times has easter fallen on april 1?
How do you find the nonpermissible placement for a in 3/4a?
Find the value of x and y. A) x=15, y=12 B) x=14, y=11 C) x=14, y=12 D) x=15, y=11
can someone help me with this please‼️
1. What type of set-back can occur because of exercise? failure to meet a goal overuse injuries exercise breaks illness 2. When do you need to rehabilitate a pa
Cancer cells exhibit different behaviors than normal cells
Proper chemical storage includes
If $10,500 is borrowed for 5 years at an annual simple interest rate of 1.73%, how much interest will be paid if the entire loan is paid off at the end of the f
Why give amoxicillin before wisdom teeth removal?