Question

find the nature of the roots :2x^2-3x+5=0

Answer 1

Hello,

Here is your answer by Sujeet

_____________________________


2x²-3x+5

_____________________________

Solution:-

Define:- Some specific Nature of the roots.

We know that ,
_____________________________

° D=0

[ Real and Equal]

_____________________________


° D<O
[Real and unequal]

_____________________________


° D>O
[ No roots]
_____________________________

ACCORDING TO THE QUESTION

Step-1

Define Discriminant:-

We know that ,

D=b²-4ac

_____________________________

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

Follow the question rule,

D=b²-4ac

D=(-3)²-4×2×5

D=9-40

D=-31
_____________________________

Step:-2

Answer:- No roots of this Equation.
_____________________________