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Question

Find the roots of 2x25x+3.


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Solution

Step 1: Estimate the value of a,b and c

Given equation is 2x25x+3.

According to the Sridharacharya formula, for a given equation ax2+bx+c, the roots of this equation is given by

x=-b±b2-4ac2a

From the given equation we have,

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

Step 2: Determine the roots of the equation

The roots of the equation are,

x=--5±-52-4×2×32×2

=5±25-244

=5±14

=64,44

=32,1

Hence, the roots of the given equation are 32 and 1.


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