Step-by-step explanation:

Given equaiton is in the form of ax^2 +bx+c=0
we apply quadratic formula to solve for x

a= 1 b = -12 and c= 59



Divide the 12 and square root terms by 2

so
and 
Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
<h3><u>Solution:</u></h3>
Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
We have to find time taken by Max to cover the same distance walking at 4.2 km/h
<em><u>The relation between speed and time is given as:</u></em>

<em><u>CASE 1:</u></em>
It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
Let us first find the distance covered
Time taken = 1.8 hours and speed = 3.5 km/hr

Hence distance covered is 6.3 km
<em><u>Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr</u></em>

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
So going+return=1356
return is 284 lesss than going
return=-284+going
subsitute
going-284+going=1356
2going-284=1356
add 284 to both sides
2going=1640
divide both sides by 2
going=820
so we havve
return=-284+going
return=-284+820
return=536
answer is return=536 miles
Try this option (see the attachment), if it is possible check result in other sources.