Answer:
x₁ = -4
x₂ = 3
Step-by-step explanation:
x²+ x + 12 = 0
x = {-1±√((1²)-(4*1*-12))} / (2*1)
x = {-1±√(1+48)} / 2
x = {-1±√49} / 2
x = {-1±7} / 2
x₁ = {-1-7} / 2 = -8/2 = -4
x₂ = {-1+7} / 2 = 6/2 = 3
Check:
x₁
-4² + (-4) - 12 = 0
16 - 4 - 12 = 0
x₂
3² + 3 - 12 = 0
9 + 3 - 12 = 0
Shea bought 13.5 pounds of corn
c = pounds of corn
b = pounds of beans
Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24
Solve the second equation for c in terms of b
c = 24-b
Substitute that expression for c in our first equation to get a numerical solution for b:
0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5
Substitute that value to get a numerical value for c:
c = 24 - b
c = 24 - 10.5
c = 13.5
Check the math:
0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09
The 2 numbers cannot be positive but the 2 numbers can be both positive and negative like: 2+(-3)= -1. Both numbers can also be negative like: (-3)-(-2)=-1.
