SOLUTION: Can someone please help me with this one; 1019.03 = 25.57802 + 1026/(1 + x/2)^2

Algebra.Com
Question 203951: Can someone please help me with this one;
1019.03 = 25.57802 + 1026/(1 + x/2)^2

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
1019.03 = 25.57802 + 1026/ (1+x^2)^2
.
1019.03 - 25.57802 = 1026 / (1+x^2)^2
.
993.4520 =1026/(1+x^2)^2
.
cross multiple
.
(1+x^2)^2 = 1026 / 993.4520 = 1.03276255
.
take sqrt both sides
.
(1+x^2) = 1.016
.
x^2 = .016
,
take sqrt both sides
.
x= .127472569
.
check,,,(1+.1274^2)^2 = 1.0328
.
1019.03=25.57802 + 1026/1.0328
.
1019.03 = 1019.03,,,,,ok

RELATED QUESTIONS

Hi Can someone please help me with this one; 983.77 = 1000/(1 + x *... (answered by jsmallt9)
Can someone please help me with this one; 100 = 950(1 +... (answered by scott8148,stanbon,RAY100)
Can someone please help me with this one 3/(x-2) >... (answered by venugopalramana)
can someone help me solve this one please?... (answered by checkley75)
can someone please help me with this problem: 1/3x+6 +2 =... (answered by adamchapman)
Can someone help me with this one i'm struggling; 1000 = 250/(1 +... (answered by solver91311)
solve {{{(x+4/5)^2 = 19/25 }}} could someone please help me with this... (answered by jim_thompson5910)
Can someone please, please help me with this one? 16x^4 - 40x^2 +... (answered by jim_thompson5910)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Simplify the complex fraction.... (answered by ankor@dixie-net.com)