friend s plz ans it ....◉‿◉◉‿◉◉‿◉find the zeroes of 2√2x-9x+5√2 also state the relationship between zeroes and cofficient.
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Here the given equation is
x²+(1/6x)-2=0
multiplying the above equation by 6 we get
6x²+x-12=0
or,6x²+9x-8x-12=0
or,3x(2x+3)-4(2x+3)=0
or,(3x-4)(2x+3)=0
Hence the zeros of the polynomial are
x=4/3 andx=-3/2
Now for a quadratic polynomial
ax²+bx+c=0
the relation between coefficient a b and c and their roots m and n are
m+n=-b/a
mn=c/a
For the given equation
m=4/3 n=-3/2
and a=1,b=1/6 and c=-2
now m+n=-1/6
and -b/a=-1/6
therefore,m+n=-b/a
also m x n=-2
and c/a=-2
Hence m x n=c/a
Hence the relation between the coefficients of polynomial and its roots (or zeros) are verified.
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