Question

at T minutes past 2pm ,the time needed by the minute hand of a clock to show 3pm was found to be 3 minutes less than T x T /4 .find T

Answer 1

The minute hand is at t
Time needed by minute hand to show 3PM = 60 -t

According to the question ---
60 - t = t^2/4 - 3
60 - t =( t^2 - 12)/4
4(60 - t) = t^2 - 12
240 - 4t = t^2 - 12
- 4t = t^2 - 12 - 240
t^2 +4t - 252 = 0

D = b^2 - 4ac = 4^2 - 4*1*(-252) = 16 +1008 = 1024

Now , -b +/- √D/2a
= -4 +/- 1024/ 2
there will be two roots
= -4 +1024/2 and -4 - 1024/2
= 14 and - 18
but time cannot be negative.
So t = 14

Answer 2

@brainly...

Go through this attachment---

✌✌✌HOPe It HeLpS✌✌✌