Question

Check whether $2x^2-3x+5=0$ has real roots or no.

• A. The equation has real roots.
• B. The equation has no real roots.
• C. Data insufficient
• D. None of these

Answer 1

Answer: (B)

The equation has no real roots.

Here the quadratic equation is $2x^2-3x+5=0$
Comparing it with $a{x}^2+bx+c=0$, we get
$a=2,b=-3,c=5$
Therefore, discriminant, $D=b^2-4ac$
$(-3{)}^2-4\times 2\times 5$
$=9-40$
$=-31$
Here, $D<0$

Therefore the equation has no real roots.