Algebra

[Bluelightning]

Hey I need help with algebra 2 homework anyone know the answer I would appreciate it

What two numbers multiplied equal -160 but added equal 12?

 

[Kαmi]

-8 & 20

 

[Elmage G Ace]

20 and -8. Now go learn how to do it

 

[Complex]

Kami beat me to it

 

[Tennis Robot]

So you have to set up a system of equations where x = first number and y = second number.

x + y = 12
xy = -160

From there you isolate a variable of your choice in either of the equations (I will do x in the second one):

x = -160/y

Since x is the same in both equations, you can substitute this solution into the first equation:

(-160/y) + y = 12

-160 + y^2 = 12y

y^2 - 12y - 160 = 0

From there, you use the quadratic formula (x = -b +- sqrt[{b^2 - 4ac}/2a]) and try both solutions in both equations.

Hope this helped

 

[Bluelightning]

So you have to set up a system of equations where x = first number and y = second number.

x + y = 12
xy = -160

From there you isolate a variable of your choice in either of the equations (I will do x in the second one):

x = -160/y

Since x is the same in both equations, you can substitute this solution into the first equation:

(-160/y) + y = 12

-160 + y^2 = 12y

y^2 - 12y - 160 = 0

From there, you use the quadratic formula (x = -b +- sqrt[{b^2 - 4ac}/2a]) and try both solutions in both equations.

Hope this helped

Thanks it did I'll use the equation with the rest of the problems

 

[Bluelightning]

-8 & 20

Thanks

 

[Bluelightning]

20 and -8. Now go learn how to do it

Thanks I'll go do it

 

[Pumpkin Ninja]

Are you trying to factor trinomials?

 

[Tennis Robot]

Thanks it did I'll use the equation with the rest of the problems

Oh you don't need to use the quadratic formula for everything Even in this example, you could easily just factor the polynomial by finding multiples of the third term that add up to the second one.