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
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it answer maybe=8 day
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Hey here is your answer
==========================
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 \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](https://tex.z-dn.net/?f=+%5Cfrac%7B1%7D%7Bx%7D+%2B+%5Cfrac%7B1%7D%7Bx+%2B+6%7D+%3D+%5Cfrac%7B1%7D%7B4%7D+%5C%5C+%3D%5Cfrac%7Bx+%2B+6+%2B+x%7D%7B%28x+%2B+6%29x%7D+%3D+%5Cfrac%7B1%7D%7B4%7D+%5C%5C%3D+%5Cfrac%7B2x+%2B+6%7D%7B+%7Bx%7D%5E%7B2%7D+%2B+6x+%7D+%3D+%5Cfrac%7B1%7D%7B4%7D+%5C%5C%3D+4%282x+%2B+6%29+%3D+%7Bx%7D%5E%7B2%7D+%2B+6x+%5C%5C%3D+8x+%2B+24+%3D+%7Bx%7D%5E%7B2%7D+%2B+6x+%5C%5C%3D+0+%3D+%7Bx%7D%5E%7B2%7D+-+2x+-+24+%5C%5C%3D+x+%3D+%5Cfrac%7B+%28-+%28+-+2%29+-+%2B+%5Csqrt%7B+%7B+-+2%7D%5E%7B2%7D+-+4+%5Ctimes+-+24+%5Ctimes+1%7D+%29+%7D%7B2+%5Ctimes+1%7D+%5C%5C%3D+x+%3D+%5Cfrac%7B2+-+%2B+%5Csqrt%7B4+%2B+96%7D+%7D%7B2%7D+%5C%5C%3D+x+%3D+%5Cfrac%7B2+%2B+-+%5Csqrt%7B100%7D+%7D%7B2%7D+%5C%5C%3D+x+%3D+%5Cfrac%7B2+%2B+-+10%7D%7B2%7D+%5C%5C%3D+x+%3D+%5Cfrac%7B2+-+10%7D%7B2%7D+and+%5C%3A+%5Cfrac%7B2+%2B+10%7D%7B2%7D+%5C%5C%3D+x+%3D+%5Cfrac%7B+-+8%7D%7B2%7D+and+%5C%3A+%5Cfrac%7B12%7D%7B2%7D+%5C%5C%3D+x+%3D+-+4+%5C%3A+and+%5C%3A+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
============================
Hope it may helpful to you plzz mark me as brainlist
==========================
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,
=
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
============================
Hope it may helpful to you plzz mark me as brainlist
BenazirMazhar1:
But you have not answered my any question
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