SOLUTION: I need to see the steps to solve 1-x^-1-20x^-2=0

Algebra.Com
Question 913834: I need to see the steps to solve 1-x^-1-20x^-2=0
Found 3 solutions by josgarithmetic, MathLover1, lwsshak3:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
lowest common denominator is , so best suggestion is multiply the left and right members by . You will then solve a quadratic equation. Do the first two steps, simplify, and you should understand a fairly predictable solution path. The only reason you might not know how to start is forgotten what negative exponent means.

You are starting with .
Multiply left and right by .........
......in fact when you do this you should find that the quadratic is factorable.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
















solutions:





or






Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
solve
let u=x^-1
u^2=x^-2
1-u-20u^2=0
20u^2+u-1=0
(4u+1)(5u-1)=0
u=-1/4=x^-1
-1/4=(1/x)
x=-4
or
u=1/5=x^-1
1/5=1/x
x=5
Check:
f(-4)=1-x^-1-20x^-2
f(-4)=1-1/x-20/x^2
f(-4)=1+1/4-20/16=5/4-5/4=0
f(5)=1-1/5-20/25=4/5-4/5=0
Both zeros check ok

RELATED QUESTIONS

I need to see the steps on how to solve this equation or problem:... (answered by Alan3354)
Need to be shown the steps to solve this problem.. I was told the answer is -67/19 but I (answered by Alan3354)
Need to be shown the steps to solve this problem.. I was told the answer is -67/19 but I (answered by Alan3354)
i NEED TO SEE THE STEPS ON THIS EQUATION. I KNOW THE ANSWER BUT NEED MORE STEPS... (answered by solver91311)
I need to see the steps to solve this equation: 2/7 - 1/7x = 3/7 Textbook says x=5... (answered by MathTherapy)
Can i see the steps on how to solve this equation by factoring and then using the zero... (answered by MathLover1,lynnlo)
(1+2i)+(5+4i) With work please. I need to see the steps (answered by ReadingBoosters)
I need to see the solution worked out in steps. Thank you... (answered by jim_thompson5910)
Can I see the steps of how to solve: Log6X= 1/2 log6 9 + 1/3 log6... (answered by Alan3354,jsmallt9)