Question

The roots of quadratic equation are:
$y^2+y+2=0$

• A. Real roots
• B. Irrational
• C. Imaginary(non real)
• D. None

Answer 1

Answer: (C)

Imaginary(non real)

Given equation is quadratic equation so compare it with $a{y}^2+by+c=0$ so we get,

a=$1$ , b=$1$ , c=$2$

Factorize the equation $y^2+y+2=0$ by using formula method as shown below:

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-1\pm \sqrt{1^2-4\times 1\times 2}}{2\times 1}=\frac{-1\pm \sqrt{1-8}}{2}=\frac{-1\pm \sqrt{-7}}{2}=\frac{-1\pm \sqrt{7}i}{2}$

Hence the root of the equation $y^2+y+2=0$ has imaginary roots.