Two drivers, Lewis and Nico, were competing in a race. When Lewis completed 2h the race in 2 h, Nico only managed to complete 85% of the distance. Lewis' 2 average speed was 18 km/h faster than Nico's. (a) Find the total distance of the race. (b) Find Nico's average speed. ​

The Hamilton–Rosberg rivalry was a Formula One rivalry between British racing driver Lewis Hamilton and German racing driver Nico Rosberg. The rivalry was most prevalent during their four years as team-mates at Mercedes from 2013–2016, a period in which the two drivers dominated the sport. The pair's relationship became strained and, at times, led to volatile confrontations on and off the track, with the duo being threatened with suspension at the height of their rivalry.[1][2] It has been compared to the Prost–Senna rivalry.[3][4][5]

Lewis Hamilton (left) and Nico Rosberg (right) with Mercedes at the 2016 Malaysian Grand Prix

As teammates, Hamilton and Rosberg won 54 of 78 races over four seasons. Hamilton had 32 victories, 55 podium finishes and qualified ahead of Rosberg 42 times. Rosberg had 22 victories, 50 podium finishes and qualified ahead of Hamilton 36 times. During this period, Hamilton won the Formula One World Championship title twice, and Rosberg won the title once.[6]

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.