Question

The following equation is a quadratic equation.

$x+\frac{1}{x}=1$(state true of false)

• A. True
• B. False

Answer 1

The correct option is A True

$x+\frac{1}{x}=1$

$\Rightarrow$ $x^2+1=x$

$\Rightarrow$ $x^2-x+1=0$

$\Rightarrow$ A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

$\Rightarrow$ The give equation is $x^2-x+1=0$

$\Rightarrow$ Comparing given equation with standard form of quadratic equation $a{x}^2+bx+c=0$.

$\Rightarrow$ We get, $a=1,b=-1$ and $c=1$

$\therefore$ The given equation $x+\frac{1}{x}=1$ is quadratic equation is true.