Question

Nature of root for 2x2-3x+5=0

Answer 1

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!}}}$

$<b><i><font face=Copper black size=4 color=blue>$ Here is your answer.
The equation is
$2 {x}^{2} - 3x + 5 = 0$
Here
a = 2
b = -3
c = 5

Now D =
$= {b}^{2} - 4ac \\ = ( - 3) {}^{2} - 4 \times 2 \times 5 \\ = 9 - 40 \\ = - 31$
As D is a negative Number so the roots of the equation is unreal and imaginary.


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Answer 2

Here is your answer

$b {}^{2} - 4ac \\ =( - 3) {}^{2} - 4 \times 2 \times 5 \\ = 9 - 40 \\ = - 31$
So The Roots are non real complex

Hope it helps