complex equation

[sajithd]

kaure hari dannawada me equation eka solve karanne

25^x-5^(x+1)+4=0

 

[nimaz]

u want 2 find da value of x??..can be done...it will take sum time..i think

 

[sw7x]

mama dannawa X=7 i

 

[sajithd]

hey machan how did u solve it?

can you post the solution step by step

 

[hipa]

you can write the equation as (5^x)^2-(5^x)(5)+4=0
Now substitute t=5^x. Now we get t^2-5t+4=0. This is a simple quadratic in t and can be factored as (t-4)(t-1)=0. Which gives t=4 or t=1. Now put back 5^x=t. You get 5^x=4 or 5^x=1, which means x=log_5(4) or x=0. Hope this helps.

 

[mastercpj]

machan oka awkalanaya karala goda dhanna baerida??

 

[Thenura]

ayyo gemak na

 

[ereshthush]

ko ithin ewapan balanna

 

[nimaz]

you can write the equation as (5^x)^2-(5^x)(5)+4=0
Now substitute t=5^x. Now we get t^2-5t+4=0. This is a simple quadratic in t and can be factored as (t-4)(t-1)=0. Which gives t=4 or t=1. Now put back 5^x=t. You get 5^x=4 or 5^x=1, which means x=log_5(4) or x=0. Hope this helps.

hari!!

 

[Thanu]

hard one

hehe

 

[hipa]

sorry new to elakiri did not know how look at old threads
avakalana koroth mokadawenne ? function ekaka avakalanaya karala 0 t set karama lebenne ekko (i) maximum wena point (ii) nettham minimum wena point (ii) netham "herenna gihilla ayeth kelin yana point" (y=x^3, x=0 de wage) misak function eka 0 wena point lebenne ne . eheinda eqution solve karanne giyama avakalaneya karanna epa

 

[Nimshan]

ekamam amaruy....

mara amaruwakane damme....

 

[hipa]

ganan gnne epa. mathe sira gathiya adu karanne hari amarui

 

[kasuwa1235]

no i dont no

 

[nabil]

you can write the equation as (5^x)^2-(5^x)(5)+4=0
Now substitute t=5^x. Now we get t^2-5t+4=0. This is a simple quadratic in t and can be factored as (t-4)(t-1)=0. Which gives t=4 or t=1. Now put back 5^x=t. You get 5^x=4 or 5^x=1, which means x=log_5(4) or x=0. Hope this helps.

ahh yes yes. i was about to say that

 

[hipa]

who is the most romantic? math guy or medico
a math guy and a medico are walking along and see a very pretty girl coming.
medico saw the girl's lungs, kidney's, spinal cords etc. math guy saw the smooth surfaces, uparima laksha (maximum points), avama laksha (minimum points), smooth surfaces and other interesting points (avakalanya 0 wena sthana).
Who is the most romantic ?

 

[lahiru7]

Me mokadha ^

 

[Muzain]

Maths Fail......Bang Owa Ahala Apiwa Cha Karanda epa

 

[sajithd]

you can write the equation as (5^x)^2-(5^x)(5)+4=0
Now substitute t=5^x. Now we get t^2-5t+4=0. This is a simple quadratic in t and can be factored as (t-4)(t-1)=0. Which gives t=4 or t=1. Now put back 5^x=t. You get 5^x=4 or 5^x=1, which means x=log_5(4) or x=0. Hope this helps.

thanx machan.