Question

From which graph can you best find the solution to the equation (2/x) - (5/x^2)=-4

Answer 1

I think its graph 1

Answer 2

f(x) = 2/x - 5/x^2 + 4 = (4x^2 + 2x - 5)/x^2
When x = 0 --> f(x) = + or - infinity
When f(x) = 0, there are 2 real roots with different signs: 2 x-intercepts
When x = - or + infinity, limit of f(x) is 4.
Graph 1 shows these facts.

Answer 3

Thank you :)