Question

The discriminant of the quadratic equation 3x^2-4x-2=0 is equal to

Answer 1

$\huge\purple{\underline{\underline{\pink{Ans}\red{wer:}}}}$

$\sf{The \ value \ of \ Discriminant \ is \ 30.}$

$\sf\blue{Explanation:}$

$\sf{Discriminant (\Delta)=b^{2}-4ac}$

$\sf{If, \Delta>0 \ Roots \ are \ real \ and \ distinct.}$

$\sf{\Delta=0 \ Roots \ are \ real \ and \ equal.}$

$\sf{\Delta<0 \ Roots \ are \ unreal.}$

$\sf\orange{Given:}$

$\sf{The \ quadratic \ equation \ is}$

$\sf{\implies{3x^{2}-4x-2=0}}$

$\sf\purple{To \ find:}$

$\sf{The \ value \ of \ Discriminant.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{The \ quadratic \ equation \ is}$

$\sf{\implies{3x^{2}-4x-2=0}}$

$\sf{Here, \ a=3, \ b=-4 \ and \ c=-2}$

$\sf{Discriminant (\Delta)=b^{2}-4ac}$

$\sf{\implies{\Delta=(-4)^{2}-4(3)(-2)}}$

$\sf{\implies{\Delta=16+24}}$

$\sf{\implies{\Delta=30}}$

$\sf\purple{\tt{\therefore{The \ value \ of \ Discriminant \ is \ 30.}}}$

Answer 2

Answer:

D=40

Step-by-step explanation:

we know that D= b^2-4ac

so, = -4^2 - 4×3×-2

= 16+24

D=40