Question

find the quadratic equation whose sum of the zeros is -1/4 and product of the zerors is 1/4​

Answer 1

Answer:

4x²+x -1=0 is your answer

Step-by-step explanation:

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Answer 2

Hey brainly user!

Here is your answer....

Question :

find the quadratic equation whose sum of the zeros is -1/4 and product of the zeroes is 1/4

Answer :

Given,

Sum of the zeroes (α+β)=-b/a=-1/4

Product of zeroes(αβ) =c/a=1/4

The quadratic equation

$k( {x}^{2} - ( \alpha + \beta )x + \alpha \beta )$

$k( {x}^{2} - ( \frac{ - 1}{4} )x + \frac{1}{4} )$

$k( {x}^{2} + \frac{x}{4} + \frac{1}{4} )$

$k( \frac{4 {x}^{2} + x + 1}{4})$

Let K =4

$4( \frac{4 {x}^{2} + x + 1 }{4} )$

$quadratic \: equation \: = 4 {x}^{2} + x + 1$

Verification

a=4,b=1,c=1

The sum of the zeroes (α+β)=-b/a=-1/4

The product of the zeroes (αβ)=c/a=1/4