Question

when the zeroes are 1/2 and 1/2 find a quadratic polynomials
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Answer 1

Answer:

Required quadratic equation is 4x² - 1 = 0.

Two zeroes are 1 / 2 & - 1 / 2.

Sum of zeroes = ( 1 / 2 ) + ( - 1 / 2 )

$\longrightarrow$ 1 / 2 - 1 / 2

$\longrightarrow$ 1 - 1 / 2

$\longrightarrow$ 0 / 2

$\longrightarrow$ 0

Now,

Product of zeroes = ( 1 / 2 ) × ( - 1 / 2 )

$\longrightarrow$ - 1 / 4

Now,

Required quadratic equation =

x² - ( Sum of zeroes ) x +

( Product of zeroes ) = 0

$\longrightarrow$ x² - ( 0 ) x + ( - 1 / 4 ) = 0

$\longrightarrow$ x² - 0x - 1 / 4 = 0

$\longrightarrow$ x² - 1 / 4 = 0

$\longrightarrow$ 4x² - 1 = 0