solve the quadratic equation be factoring

Question

amy travels 450 miles at a certain speed. if the car had gone 15 mph faster the trip would have taken 1 hour less. Find amys speed

please show work

Answer 1

time=distans/speed...time1=(450/speed1)

time2=450 / (speed1+15)=time1-1

or time1 -time2=1...(450/speed1) -450 /(speed1+15)-1=0

450 -450*[speed1/(speed1+15)] -speed1=0

450*(speed1+15) -450*speed1 -speed1*(speed1+15)=0

-speed1^2 -speed1*15 +15*450=0...or speed1^2 +15*speed1 -6750=0

quadratik equashun giv speed=75 or -90

so me spekt speed1=75  & speed2=90

450/75=6,,,,450/90=5