Solution assignment 01 Equations with fractions

Return to Assignments Equations with fractions

Assignment 1

Solve:

$x-1=\displaystyle\frac{1}{x}$

Solution

It seems that we are dealing with a fraction only in the right-hand side, but that is not the case. The left-hand side is actually a fraction although we have not written it as a fraction. We can write:

$\displaystyle\frac{x-1}{1}=\displaystyle\frac{1}{x}$

Cross-multiplication yields:

$x(x-1)=1$

$x^2-x-1=0$

and thus:

$x_{1,2}=\displaystyle\frac{1\pm\sqrt{5}}{2}$

Return to Assignments Equations with fractions

Assignments

Solution assignment 01 Equations with fractions

Assignment 1

Solution

Contact

Tutor Math, Statistics or GMAT?

Language preference