Evan, Claire, Jaya and Tim are running a 3 km relay race. Evan ran 7/8 of a km, Claire ran 11/12 of a km, and Jaya ran 3/4 of a km.

What fraction of a km does Tim need to run to finish the race?
[3]​

11/24

Step-by-step explanation:

7/8 + 11/12 + 3/4 + x = 3 km

7*3/8*3 = 21 / 24

11*2 / 12 * 2 = 22 /24

3*6 / 4*6 = 18/24

21/24 + 22/24 + 18/24 + x = 3

61 / 24 +  x = 3

x = 72/24 - 61/24

x = 11 / 24

Tim has to run 11/24 of the race

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.