Math, asked by Ganeshthombal, 1 year ago

Pintu takes 6 days more than those of Nishu to complete certain work. If they work together they finish it in 4 days. How many days would it take to complete the work if they work alone. Using quadratic eqation

Answers

Answered by BenazirMazhar1
2
it answer maybe=8 day
Answered by aman190k
12
Hey here is your answer
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Let,
the total number of days taken by Nishu to complete certain work is x
then,
the total number of days taken by Pintu is x + 6
a/q,
= \frac{1}{x} + \frac{1}{x + 6} = \frac{1}{4} \\ =\frac{x + 6 + x}{(x + 6)x} = \frac{1}{4} \\= \frac{2x + 6}{ {x}^{2} + 6x } = \frac{1}{4} \\= 4(2x + 6) = {x}^{2} + 6x \\= 8x + 24 = {x}^{2} + 6x \\= 0 = {x}^{2} - 2x - 24 \\= x = \frac{ (- ( - 2) - + \sqrt{ { - 2}^{2} - 4 \times - 24 \times 1} ) }{2 \times 1} \\= x = \frac{2 - + \sqrt{4 + 96} }{2} \\= x = \frac{2 + - \sqrt{100} }{2} \\= x = \frac{2 + - 10}{2} \\= x = \frac{2 - 10}{2} and \: \frac{2 + 10}{2} \\= x = \frac{ - 8}{2} and \: \frac{12}{2} \\= x = - 4 \: and \: 6
as days are nerver negative therefore:

the total number of days taken by Nishu to complete certain work is
x = 6days

the total number of days taken by Pintu is
= x + 6
=6+6
=12days
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BenazirMazhar1: But you have not answered my any question
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