Represent in Mathematical equation - Quadratic Equation, CBSE Class 10 Mathematics Video Lecture - Class 10 | Best Video for Class 10

hello friends this video on quadratic
equations part 3 is brought to you by
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before watching this video please make
sure that you have watched part 1 and
part 2 some more example where we have
to represent mathematically real-life
scenarios the product of two positive
integers and conjugative so he first
integer is X the second will be X plus 1
right they are too conservative and the
question says the product of these two
consecutive integers is 3 not 6 so what
we have done if the first integer is a
the next will be X plus 1 because we're
talking about consecutive if 3 is the
number the conjugated with 3 is 4 so
it's 1 X plus 1 correct X into X plus 1
is equal to 3 non 6 that is what given
to us that is nothing but X square plus
X is equal to 3 not 6 or X square plus X
minus 3 not 6 is equal to 0 this is the
product of two consecutive positive
integers and this is the equation where
X is nothing but the first positive
integer so to represent this scenario
mathematically will write X square plus
X minus 3 not 6 is equal to 0 where X is
the first positive and we can solve this
solve this well done very soon this is
one more scenarios
Rohan's mother is 26 year older than him
the product of their ad AJ is three
years from normal be 360 we have to find
Rohan's present age so let's go on let
us suppose this present age is X and the
quotient says Rohan's mother is 36 year
26 years order to him so mother will
quickly end this explicit ways right
and this is nothing but current age now
a question says the product of the a is
3 years from now that is will write 3
years
from now age this guy will be expressly
because if the current date is eggs
after three years routine from X plus
three and mom will become 26 plus
expressly the current days is 26 last
thing that is 29 hustlin so we have
current age of rohan there is X and mom
2 X 2 stress express X and the age of
rome after 3 years there is X plus 3 and
the age of mother after 3 there is 29
plus X now the question says the product
of their age after 3 years will be 360
phrase if you multiply this number X
plus 3 39 plus X you get 360 that is X
plus 3 into 29 plus and X is equal to
360 correct so we'll solve this this
become 29 X plus X square plus 29 into 3
9 3 27 to 63 87 plus yen's is equal to
360 or we can say X square plus 32x
minus 273 is equal to 0 and this is a
parting question because this is of the
form X square plus BX plus C where a is
equal to 1 B is equal to 32 and C is
equal to minus 3 to 72 73 X 70 and we
can solve this we can solve this or we
solve this will explain but this is what
we have done we have converted or we
have represent it is a real life
scenario into mathematical quadratic
equation will take for example the train
travels a distance of 4 80 kilometer at
a uniform speed the speed had been 8
kilo meter are less then it would have
taken three yards find the nothing vs
represent is graphically so let's assume
there are two case right case 1 and we
have case
and let's suppose his distance this is
time and this is speed in case one it
says the distance is 40 kilometer at a
uniform speed speed is that suppose
excavator power and time let suppose it
takes T right for radicular winter
distance is the distance speed is
excavator Prague and T's TRS second case
if the speed has been 8 kilo bits are
lace that is speed have in X minus 8 in
seed of X it is X minus 8 it will take 3
3 yards more then the time will become T
plus 3 and the distance is same lift
since the same cm distance distance you
see so we have two scenarios in first
and you distance is 4 and T time is T
speed is X seconds narrow distance is
480 time is T plus 3 and speed is X
minus 8 correct we know the formula time
is equal to distance by speed so in case
1 T is equal to 480 by X in case to time
is equal to T plus three T plus 3 is
equal to 480 by X minus 8 right this is
my equation 1 and this migration do just
we have represented this in thus John
and we have used the form lat that time
is going to distance by speed so in
first case time is going to T distance
but before it is speed is graduates in
the second case time is going to T plus
ly this is going to 480 Smee is equal to
X minus e and that's what we have
written here you subtract these two
equation T will here cancel so we'll get
3 is equal to 480 by X minus 8 minus 4
ay T by X correct this is nothing but if
you take 480 common 1 by X minus 8
- weeks all right it's all this actually
this becomes X minus a this become X X
minus X minus 8 sorry this becomes G by
4 ad against all one by one sixty and xx
cancel this becomes 8 you can write X
minus 8 into X is equal to 18 this one
60 let's solve this further I will get X
square minus 8 X minus 1 - 8 0 is equal
to X and if you see this is also
quadratic equation sorry the whole thing
is according equation and we can solve
this how else all this will explain it
but now we have to write this quadratic
equation we have covered it as a
real-life scenario into our equations so
this is also one real-life application
of part equation where you know some
part of the distance time and you want
to know the actual value of speed then
we can use the quarter fission here X is
nothing but the speed of the train
initial speed of the train thank you
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