Question

The equation $\frac{4}{x^2}-x+2=0$ can be solved by finding the intersection of the graph of $y=\frac{4}{x^2}$ and a straight line. Write down the equation of this straight line.

Answer 1

the eqaution can be soloved ny finding interesection of $y=\frac{4}{x^2}$ and a straight line ____ (i)

$\therefore$ let $y=mx+c$ be a line

$\therefore$ $\frac{4}{x^2}=mx+c$

$\therefore \frac{4}{x^2}-mx-c=0$___(ii)

$\therefore$ from(i) and (ii) $m=1,c=-2$

$\therefore$ eqaution of line :- $y=x-2$.