At t minutes past 2pm the time needed by the minute hand of a clock to show 3pm was 3 minutes less than t square 4 minutes.find t
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Answered by
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60 - t = t*t/4 - 3
60 + 3 = t²/4 + t
63 = t² + 4t/4
252=t² + 4t
t² + 4t - 252 = 0
by discriminant formula
D = b² - 4ac
= 16 - 4*[-252]
1024
√D = 32
x = -4-32/2 and x = -4+32/2
x = -36/2 and 28/2
x = -8 or 14
since time can't be -ve
so t=14 ANS.
60 + 3 = t²/4 + t
63 = t² + 4t/4
252=t² + 4t
t² + 4t - 252 = 0
by discriminant formula
D = b² - 4ac
= 16 - 4*[-252]
1024
√D = 32
x = -4-32/2 and x = -4+32/2
x = -36/2 and 28/2
x = -8 or 14
since time can't be -ve
so t=14 ANS.
Answered by
0
Answer:
t=14
Step-by-step explanation:
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