Question

Form the qaudratic equation from the roots given below 2+√5,2-√5

Answer 1

Hi ,

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Form of a quadratic equation whose roots

are m , n is

x² - ( m + n )x + mn = 0

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Here ,

m = 2 + √5 ,

n = 2 - √5 ,

sum of the roots = 2 + √5 + 2 - √5

m + n = 4 ----( 1 )

product of the roots = ( 2 + √5 )( 2 - √5 )

mn = 2² - ( √5 )²

mn = 4 - 5

mn = -1 ---( 2 )

Required Quadratic equation ,

x² - ( m + n )x + mn = 0

x² - 4x -1 = 0


I hope this helps you.

: )

Answer 2

First Image Second Image

Step-by-step explanation:

Answer Is here

First Image is starting answer &

second image is next answer

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