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

1.	The discriminant of the quadratic equation 3x^2-4x-2=0 is equal to
Answer» $\huge\purple{\underline{\underline{\pink{Ans}\red{wer:}}}}$ $\sf{The \ value \ of \ Discriminant \ is \ 30.}$ $\sf\blue{Explanation:}$ $\sf{Discriminant (\Delta)=b^{2}-4ac}$ $\sf{If, \Delta>0 \ Roots \ are \ real \ and \ distinct.}$ $\sf{\Delta=0 \ Roots \ are \ real \ and \ equal.}$ $\sf{\Delta$ $\sf\orange{Given:}$ $\sf{The \ quadratic \ equation \ is}$ $\sf{\implies{3x^{2}-4x-2=0}}$ $\sf\purple{To \ find:}$ $\sf{The \ value \ of \ Discriminant.}$ $\sf\green{\underline{\underline{Solution:}}}$ $\sf{The \ quadratic \ equation \ is}$ $\sf{\implies{3x^{2}-4x-2=0}}$ $\sf{Here, \ a=3, \ b=-4 \ and \ c=-2}$ $\sf{Discriminant (\Delta)=b^{2}-4ac}$ $\sf{\implies{\Delta=(-4)^{2}-4(3)(-2)}}$ $\sf{\implies{\Delta=16+24}}$ $\sf{\implies{\Delta=30}}$ $\sf\purple{\tt{\therefore{The \ value \ of \ Discriminant \ is \ 30.}}}$

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