Question

Solve
1 + 2/x + 5/x^2 = 0

Answer 1

Multiply both sides by x^2 to get rid of fractions, then solve as linear equation.

Answer 2

okay I'm going to try….

Answer 3

thank you but don't go anywhere in case i need help

Answer 4

wait why x^2

Answer 5

cause you have 5/x^2 at the end, right? So you need to get rid of that

Answer 6

uh um im confused….

Answer 7

multiplying it by x^2 will also convert 2/x into 2x (2/x * x^2 = 2x)

Answer 8

ok so if you multiply this entire equation by x^2 here is what will happen.
Your right side will remain 0, since 0*x^2 = 0
Your left side will become this:
x^2 + 2x + 5

So by doing that you get equation:
x^2 + 2x + 5 = 0

which is your basic quadratic equation or whatever they called and could be solved using formula

Answer 9

okay so is it X^2 + 2x + 5 = 0

Answer 10

oh haha okay thank you but how did you know we could use X^2 like why not just x as the greatest common factor?

Answer 11

Well you need to get rid of fraction and as a rule thumb the easiest way to find the factor is to look at the fraction with highest denominator, right? :)

Answer 12

oh yeah okay….fractions with variables scare, i was probably over thinking.

Answer 13

THATN YOU!!!!

Answer 14

np, glad to be of help.