Question

The nature of the roots of the equation $x^2-5x+7=0$ is

• A. No real roots
• B. 1 real root and 1 imaginary
• C. Real and unequal
• D. Real and equal

Answer 1

The correct option is A No real roots

Nature of the roots for a quadratic equation $a{x}^2+bx+c=0$ , can be determined by its discriminant,$D=b^2-4ac$
Here, given quadratic equation is $x^2-5x+7=0$.
Putting the value of $a,b,c$, we get
$D=5^2-4\times 1\times 7$
$=25-28$
$=-3$

$=<0$
Therefore, Option A is correct.