Question

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

• A. 1
• B. 2
• C. Infinite

Answer 1

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