middle term of T² - 100T - 6000=0
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middle term of T² - 100T - 6000=0
Solution :--
T²-100T -6000=0
by using Dharacharya formula
T=[ -b±√{(b²-4ac)}]/2a
here ,
a=1,b= -100, c = -6000
T = [-(-100)±√{(-100)²-4×1×-6000}]/2
T= [100±√{10000+24000}]/2
T= [100±√{32000}]/2
T= [100±10√320]/2
T= [100±20√80]/2
T= [100±40√20]/2
T= [100±80√5]/2
take +ve and -ve sign
T=( 100+80√5)/2
and ,
T= (100-80√5)/2
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