no. of sol

Find no. of sol of

2x+3x+4x -5x=0

8 Answers

33
Abhishek Priyam ·

oh nice....

Just think how many times y=2x+3x+4x
and y=5x

their derivatives will help which one is increasing at what rate...
Also plotting some imp points will help.......

If this does not help....Plz tell.....

33
Abhishek Priyam ·

Ok...

It will have 1 soln.....
:)

1
Indraneel Chatterjee ·

answer is 1 solution on substituting 1 2 and 3 you get

on substitutong 1 : 9 on lhs and 5 on rhs
on substitutong 2 : 29 on lhs 25 on rhs
on substitutong 3 : 99 and 125

in first 2 cases lhs > rhs
3 case lhs<rhs

clearly the graphs will intersect in this region and never intersect again.
(between substituting 2 and 3)

33
Abhishek Priyam ·

[1]

1
naman_475 ·

the ans is 1 sol.
i did it by takinh 5x to the rhs and then divided the whole expression .by 5x

62
Lokesh Verma ·

yes naman.. that is a good way too :)
I would say a much better way

1
naman_475 ·

but i am not sure whether (2/5)x+(3/5)x+(4/5)x will have graph similar to ax.

62
Lokesh Verma ·

it will be the sum of these three.. and u have to check the derivatives to see the behaviour.. i am sure it wont be such a difficult ask!

and btw graphs is used to find some short cut.. so it gives u a much faster way to solve..

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