Q 1: Write the form n winctuQ2. Form a quadratic polynomial, ore of wh

1.	Q 1: Write the form n winctuQ2. Form a quadratic polynomial, ore of whose zero is 3 +V5 and sum of zeroes is 6.4li system of equations has a unique
Answer» aOne zero = 3 + √5 • Sum of zeros = 6 So , Second zero = 6 - ( 3 + √5 ) = 6 - 3 - √5 = 3 - √5 Now , Quadratic equation = x² - ( sun of zeros )x + product of zeros x² - ( 6 )x - ( 3 + √5 ) ( 3 - √5 ) = x² - 6x + [ ( 3 ) ² - ( √5 ) ² ] = x² - 6x + [ 9 - 5 ] = x² - 6x + 4

Q 1: Write the form n winctuQ2. Form a quadratic polynomial, ore of whose zero is 3 +V5 and sum of zeroes is 6.4li system of equations has a unique

Answer»

aOne zero = 3 + √5

• Sum of zeros = 6

So ,

Second zero = 6 - ( 3 + √5 )

= 6 - 3 - √5

= 3 - √5

Now ,

Quadratic equation =

x² - ( sun of zeros )x + product of zeros

x² - ( 6 )x - ( 3 + √5 ) ( 3 - √5 )

= x² - 6x + [ ( 3 ) ² - ( √5 ) ² ]

= x² - 6x + [ 9 - 5 ]

= x² - 6x + 4