Question

Find the nature of the roots of the following quadratic equation. If the real roots exist, find them.

$2x^2-3x+5=0$

• A. $x=0$ and $x=-2$
• B. $x=3,x=-6$
• C. No real root.
• D. None of these

Answer 1

Answer: (C)

No real root.

Given, $2x^2-3x+5=0$

Comparing with the standard quadratic equation is $a{x}^2+bx+c=0$

Here, $a=2$, $b=-3$, $c=5$

Now, $D=b^2-4ac$

$=9-4\times 2\times 5$

$=-31$

Here, the discriminant is negative.

Thus the quadratic question does not have any real roots.