Question

Find the nature of the roots of 2x2 - 3x - 12 = 0.Real and rationalReal and irrationalReal and equalComplex roots

Answer 1

Given:

$2x^2-3x-12=0$

Required:

To find the nature of the root.

Explanation:

Here

$\begin{gathered} a=2 \\ b=-3 \\ c=-12 \end{gathered}$

Now

$\begin{gathered} b^2-4ac=(-3)^2-4(2)(-12) \\ =9-96 \\ =-87<0 \end{gathered}$

The roots are complex.

Final Answer:

The roots are complex.