## Find the zeros of the quadratic polynomial p(x) = 4x² – 4x + 1 and verify the relationship between thezeros and their coeffi

Question

Find the zeros of the quadratic polynomial p(x) = 4x² – 4x + 1 and verify the relationship between the
zeros and their coefficients.
of 60 families is given below:find the zeros of quadratic polynomial p x 4 x square – 4 x + 1 and verify the relationship between the zeros and their efficient ​

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3 months 2021-07-19T20:44:18+00:00 2 Answers 0 views 0

Both roots are Step-by-step explanation:

4x² – 4x +1 = 0     a= 4; b= -4; c= 1

4x² – 2x – 2x + 1 =0

2x(2x – 1) – 1(2x -1) =0

(2x – 1)(2x – 1) = 0

So, on solving we will get x =1/2 ; x = 1/2

Zeroes are, =  =  + =  + = 1 = 1 = 1

Hence Proved x =  x =  = Hence Proved

Hope this helps

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a =4, b =-4, c=1

sum of zero = -b/a

=1

product of zero = c/a

=1/4

now verification :

4x²-4x+1

4x²-2x-2x+1

so by solving this we get two values of x that is

x=1/2 and x =1/2

so verification of sum of zeroes = 1/2+1/2=2/2=1

now verification of product of zeroes = 1/2*1/2=1/4

verified