A basketball player scored 15 times during one game. He scored a total of 29 points, two for each field goal and one for each throw. How many field goals did he make? How many Free throws? Let x equal the number of field goals.
Let y equal the number of free throws.

Complete the system of equations.

__ = 15
__ = 29

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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.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8