Math, asked by drlngbaji1, 1 year ago

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Answered by Shivam111ggv
0
log27 to base 3 =3
so one root of the equation is 3
hence it shiuld satisfy the equation,so
3^2+3(5)+p=0
24+p=0
p=-24 so option c is correct
Answered by Swarup1998
0
⛤HERE IS YOUR ANSWER⛤

 log_{3}(27)  \\  =  \frac{log27}{log3}  \:  \:  \: (base \: of \: the \: log = e) \\ =   \frac{log {3}^{3} }{log 3}  \:  \: (since \:  {3}^{3}  = 27) \\ =   \frac{3log3}{log3}  \:  \: (since \:  \: log {a}^{m}  = mloga) \\  = 3

So, x=3 is a root of the given quadratic equation and hence x=3 satisfies it. Thus
 {x}^{2}  + 5x + p = 0 \\ or \:  \:  {3}^{2}  + 5.3 + p = 0 \\ or \:  \: 9 + 15  + p = 0 \\ or \:  \: p =  - 24

⛤HOPE THIS ⬆ HELPS YOU⛤
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