Nina wants to download games for her video game console. older games cost 500 points and new releases cost 2,000 points. nina has 20,000 points to use. the equation 500a+2000b=20,000, where a is the number of older games and b is the number of new releases, models the situation. how many older games can she download if she downloads one new game? for new games?

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: -1

step-by-step explanation: