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Nairaland Forum / Nairaland / General / Education / ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X (983 Views)
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ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by lakeoris(m): 7:33am On Jun 23, 2009 |
x2+(x2-1)1/2=1 best of luck
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Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Nobody: 10:40am On Jun 23, 2009 |
dggh |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Ehido(m): 2:41pm On Jun 23, 2009 |
Hi Poster, your question shoulde be simplify the expression |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by femi4: 9:53am On Jun 24, 2009 |
@ EHIDO, It is not an expression,the poster is right.It is an equation because of the equality sign. To start with, square both sides to get polynomials in X^4+, =1 and solve the polynomials for different values of x by examination |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by donlet(m): 10:07am On Jun 24, 2009 |
check this out x^2+ ( x^2 - 1)^1/2 = 1 (x^2+(x^2-1)^1/2)^1/2 = 1^1/2 x + ( X^2 - 1 ) = 1 x + x^2 - 1 = 1 x^2 + x - 2 = 0 . , (x+2) = 0 (x - 1) = 0 X = -2 or 1. |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Ehido(m): 11:37am On Jun 24, 2009 |
The equality sign was not there yesterday, trust me I know an equation when I see one |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by olayhincar(m): 2:50pm On Jun 24, 2009 |
The equality sign was not there yesterday, trust me I know an equation when I see one but i just solved it today and i got 1 to be my final answer. I put Logx to both sides Remember LogxX = 1 X^2 + ( X^2 - 1 ) ^ 1/2 = 1 logx X^2 +( logx( X^2 - 1 ) ^ 1/2) = logx X^1 2logx X + 1/2( logx( X^2 - 1 )) = 1logx X 2logx X + (1/2(logx X^2) - (1/2 logx 1 )) = 1logx X 2logx X + ((1logx X) - (1/2(logx1) ) = 1logx X 2logx X - (1/2(logx 1) ) = 1logx X - 1logx X 2logx X - (1/2(logx 1) ) = 0 2logx X = (1/2(logx 1) ) logx X^2 = logx 1^(1/2) Divide both sides by Logx u are left with X^2 = 1^(1/2) X^2 = Sq rt(1) X^2 = 1 X = Sq rt(1) X = 1 |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by olayhincar(m): 2:56pm On Jun 24, 2009 |
@napolie, use logarithm to simplify |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Nobody: 4:04pm On Jun 24, 2009 |
olayhincar: i never read the question carefully before attempting it . i just went ahead and differentiate it. you're right olayhincar |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by gen2dan(m): 7:23pm On Jun 24, 2009 |
Now the question x2 + (x2 - 1)1/2= 1 (x2 - 1)1/2 = 1 - x2 Squaring both sides and expanding we get x2 - 1 = x4 - 2x2 + 1 Collecting like terms and simplifying we get x4 - 3x2 + 2 = 0 Now this is a polynomial of the 4th degree in even consecutive indices to solve this we divide with a quadrant, so using the trial method lets take x2 - 1 Dividing with this we get, x2 - 2 as the answer therefore, (x2 - 1)(x2 - 2) In which case x = +/-1 or the square root of 2 Check: x2 + (x2 - 1) = 1 Substituting x = 21/2 (21/2)2 + ({21/2}2 - 1)1/2 Gives, 2 +/- 11/2 which gives, 2 +/- 1 2-1=1 You can also check the other value yourself for confirmation |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Mquadrant1(m): 6:07am On Jun 25, 2009 |
different efiko nd ò je wè with different method nd answer. |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by olalekan1(m): 5:48pm On Jun 25, 2009 |
gen2dan: you are the only one getting it but x4 - 3x2 + 2 = 0 , it has to be x4 - 3x2 - 2 = 0 |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Ronnykay(f): 5:51pm On Jul 11, 2009 |
@gen2dan igi iwe you are too good!!!!!!!! omo la toro iwe la bi bata re a dun ko ko ka |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Mquadrant1(m): 7:56pm On Jul 11, 2009 |
@ronnykay, uhmmmnmm!!! Lol.[color=][/color] |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Uzzyan: 8:31pm On Jul 11, 2009 |
@gen2dan U are blessed!!! |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Mquadrant1(m): 9:11pm On Jul 11, 2009 |
Na wa o! Pastor. God go bless us jare. Lol. |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by bayedero(m): 8:39pm On Jul 12, 2009 |
Solve thie: 3x + 4x = 5x ** Double dare you guys |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Freerhyme1(m): 11:26am On Jul 15, 2009 |
bayedero: Professor of Maths, Na u Know Maths Pass Everybody, A1 Perpendicular na e u get for secondary school. |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by kokoA(m): 11:44am On Jul 15, 2009 |
these are secondary school mathematics. Boys |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by Nobody: 2:15pm On Jul 15, 2009 |
Free_rhyme: i will really appreciate it if the poster of this question could give the solution with workings since no efiko online has been able to solve for x in the eqn. looking forward to hear from you POSTER. |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by BigStar1(m): 3:27pm On Jul 15, 2009 |
what's the shit? X= -2 or x=1. |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by oseh4ril: 3:52pm On Jul 15, 2009 |
x^2 + (x^2 - 1)^1/2 = 1 squaring both sides of d eqn we have : x^4 + x^2 - 1 = 1 x^4 + x^2 = 1+1 x^2(x^2+1) = 2 i.e x^2 = 2 or x^2+1 = 2 x=sqrt(2) or x^2=2-1 x=1.414 or x^2=1 x=1.414 or x=sqrt(1) x=1.414 or x=1 |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by pongwa(m): 4:27pm On Jul 15, 2009 |
pls u pple shld include ur schools when solving problems so we kno d quality of ur lecturers and school as well |
Re: ALL MATHEMATICS STUDENT SOLVE THIS EQUATION FIND THE VALUE OF X by candylips(m): 10:42am On Oct 14, 2009 |
bayedero: this is high school math. just looking at the problem will tell you that X =2 can any body solve this simple Differential Equation y'' - 4y' + 13y = 0. obtain the value of y y'' = d2y/dx2 y' = dy/dx |
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