Question

The equation $x^2-3x+5=0$ has ___ real roots.

• A. 0.0
• B. 1
• C. 2
• D. Infinite

Answer 1

The correct option is A 0.0

The given equation is $x^2-3x+5=0$
Now, this is a quadratic equation.
If we compare with the standard form

$a{x}^2+bx+c=0,a=1,b=-3andc=5.$

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.