Find the zeros of the quadratic polynomial p(x) = 4x² – 4x + 1 and verify the relationship between the
zeros 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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Ayla 3 months 2021-07-19T20:44:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-07-19T20:45:40+00:00

    Answer:

    Both roots are \frac{1}{2}

    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,

    \alpha = \frac{1}{2}

    \beta = \frac{1}{2}

    \alpha + \beta =\frac{-b}{a}

    \frac{1}{2} + \frac{1}{2} = \frac{-(-4)}{4}

    1 = \frac{4}{4}

    1 = 1

    Hence Proved

    \alpha x \beta =\frac{c}{a}

    \frac{1}{2} x \frac{1}{2} = \frac{1}{4}

    \frac{1}{4} = \frac{1}{4}

    Hence Proved

    Hope this helps

    Pls make me brainliest

    0
    2021-07-19T20:46:12+00:00

    Answer:

    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

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