O/L Maths

[SunSilk]

machan mehema tibbama kohomada ban sulu kerenne..ape podi ekak awilla gedera uu meka ahanawa..

x+1/x = 3 nam
x2+1/x2 = kiyada ahanawa...

 

[SunSilk]

 

[SunSilk]

danne nadda ekekwath

 

[peter001]

7 yi bn

 

[agrmrs]

2 i

 

[SunSilk]

7 yi bn

2 i

kohomada uththare ganne ban?

 

[peter001]

kohomada uththare ganne ban?

depattama warga karapn etakota x2+(1/x2)+2 (x/x)=9

x2+(1/x2)=9-2=7

 

[SunSilk]

depattama warga karapn etakota x2+(1/x2)+2 (x2/x2)=9

x2+(1/x2)=9-2=7

ela thanks..

 

[cow de boy]

2y

 

[Sithira Weerasinghe]

2i

x+1/x=3
x+1/x*x=3*x
x+1=3x
x+1-x=3x-x
1=2x
x=0.5

x2+1/x2
0.5*2+1/0.5*2

 

[agrmrs]

kohomada uththare ganne ban?

uda eka sulu kara eke uththare 2weni ekata aadesha kala harida danne OL maths failne

 

[Rage Guy]

mae tiyenne ban net eke dala.

Since x + 1/x = 3:

(i) (x + 1/x)^2 = 3^2, by squaring both sides
==> x^2 + 2x * 1/x + (1/x)^2 = 9
==> x^2 + 2 + 1/x^2 = 9
==> x^2 + 1/x^2 = 7.

(ii) (x + 1/x)^3 = 3^3, by cubing both sides
==> x^3 + 3x^2 * 1/x + 3x * (1/x)^2 + (1/x)^3 = 27
==> x^3 + 3(x + 1/x) + 1/x^3 = 27
==> x^3 + 3 * 3 + 1/x^3 = 27, since x + 1/x = 3
==> x^3 + 1/x^3 = 18.

(iii) Multiply the results from (i) and (ii):
(x^3 + 1/x^3)(x^2 + 1/x^2) = 18 * 7
==> x^5 + (x + 1/x) + 1/x^5 = 126
==> x^5 + 3 + 1/x^5 = 126, since x + 1/x = 3
==> x^5 + 1/x^5 = 123.

 

[nuwanwyb99]

depattama warga karapn etakota x2+(1/x2)+2 (x/x)=9

x2+(1/x2)=9-2=7

උඹට කොහොමද බං 7 ආවේ.. මට එන්නේ 9 නේ..

උඩ එකේ කෙලින්ම වර්ගේ නේද උත්තරේට අහන්නේ?

 

[chinthaka156]

 

[peter001]

උඹට කොහොමද බං 7 ආවේ.. මට එන්නේ 9 නේ..

උඩ එකේ කෙලින්ම වර්ගේ නේද උත්තරේට අහන්නේ?

warga karanakota madata tawa term ekak enawane bn (a+b)^2=a^2+b^2+2ab, eke 2(x/x) awith x kapila yanawa bn

 

[chinthaka156]

Correction

mama daapu gaane

1 wenuwata enna ona x^2

 

[chinthaka156]

මම දාපු උත්තරේ 1 වෙනුවට එන්න ඕන x වර්ගය බස කරුණාවෙන් සලකන්න.

 

[nuwanwyb99]

warga karanakota madata tawa term ekak enawane bn (a+b)^2=a^2+b^2+2ab, eke 2(x/x) awith x kapila yanawa bn

එළ එළ දැන් මතක් උනා.. පාවිච්චි නොකරම ඉඳල මොළේ මලකඩ බැඳිලා බං..

 

[SunSilk]

doooo goda denek mahansi wela mata uththare hoyanna..thanks okkotama 4n eken awe ekai eka ekkenata qte kerenna bari unee..thanks macganla..uththare 7 i....

 

[psenarath]

ela