Answer: (x-5)²=8
Step-by-step explanation:
x²-10x+17=0
x²-2(x)(5)+5²-5²+17=0
(x²-2(x)(5)+5²)-25+17=0
(x-5)²-8=0
(x-5)²-8+8=0+8
(x-5)²=8
Distance = rate times time.
Let the first cyclist's rate be r1 and the 2nd cyclist's rate be r2.
Let r2 = r1 + 10 (km per hour).
The total distance between them after 3 hours is 174 km; using the distance= rate times time formula, we also get:
r1(3 hrs) + r2(3 hrs) = 174 km
Then
r1(3 hrs) + (r1+10)(3hrs) = 174 km
Then 3r1 + 3r1 + 30 = 174
6r1 = 144, and r1 = 24 km/hr. Then r2 = (24 + 10) km/hr = 34 km/hr.
