Question

Find the zeros of the following quadratic polynomial and verify the relation between the zeros and the coefficients 8x^2-4

Answer 1

Let f(x)=8x²-4

=4(2x²-1)

that implies 2x²-1=o

2x²=1

x²=1/2

x=square root of 1/2

the roots are-1/√2 or+1/√2

relation between the roots

sum of the roots=-b/a=0

product of the roots=c/a=-4/8=-1/2

VERIFIED