Question

Find the roots of the equation $x^2-x-3=0$. The nature of the roots is

• A. irrational
• B. rational
• C. real
• D. imaginary

Answer 1

The correct option is A irrational

$x^2-x-3=0$
From the quadratic formula we can find the value of x
$x=\frac{+1\pm \sqrt{1-4\times 1(-3)}}{2\times 1}=\frac{1\pm \sqrt{13}}{2}$
So $x=\frac{1+\sqrt{13}}{2},\frac{1-\sqrt{13}}{2}$
Hence the roots are irrational