Question

The number of real roots of the equation $x^2-3x+5=0$ is:

• A. 0
• B. 1
• C. 2
• D. Infinite

Answer 1

The correct option is A

0

The given equation is $x^2-3x+5=0$
If we compare it with the standard form of a quadratic equation,
$a{x}^2+bx+c=0,a=1,b=-3andc=5.$
The discriminant
$b^2-4ac=(-3{)}^2-4(1\left)\right(5)=9-20=-11$.
Since $b^2-4ac<0$, the equation will have no real roots.