Math, asked by shainsneeshwar, 1 year ago

If one zero of the polynomial x2-6x+6 is 3-root 3 find its other zeros

Answers

Answered by neelimashorewala
4
one zero of p(x) is 3 - root 3. 
now, the sum of the zeroes of a polynomial is the coefficient of x in the polynomial. 
here, coefficient of x is 6.
let α = 3 - √3 and β be the other zero
then α + β = 6.
then, 3 - √3 + β = 6.
then β = 3 + √3.
hence the other zero is 3 + √3
Answered by rishabhhpopat
0

Answer:

Hey Mate! Here's your answer

Let p(x) = x2 − 6x + 6

Let α and β are the zeroes of p(x)

Let α = 3 − √3 ; β = ?

Now, α + β = − coeffcient of x / coeffcient of x2 =6

⇒3 − √3 + β = 6

⇒β = 3 +√3

Hence, its other zero is 3 + √3

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