Question

WILL GIVE MEDALS Graph the solution to the equation 7/x -10/x^2=1

Answer 1

@Hero can you help

Answer 2

\[\frac{ 7 }{ x }-\frac{ 10 }{ x ^{2} }=1\]

Answer 3

multiply every term by x^2 and you get

7x - 10 = x^2

or

x^2 -7x + 10 = 0

hope you can solve the quadratic by factoring

Answer 4

can you help me solve it so i can put it in a calculator

Answer 5

ok... so what are the 2 factors of 10 that add to -7... both factors are negative...

Answer 6

-2 and -5

Answer 7

thats it so the factored form of the equation is

(x -2)(x - 5) = 0

so you need to solve

x - 2 = 0

and

x - 5 = 0

to find the solutions...

graphically

if you graph

y = x^2 - 7x + 10

the solutions are where the curve cuts the x-axis

here is an easy to use website that allows you to graph the curve

https://www.desmos.com/calculator

Answer 8

thats the site i use its great thanks so much