Question

form the quadratic equation having the roots 1 + √ 2 and 1 - √2​

Answer 1

Answer:

x² - 2x - 1

Step-by-step explanation:

α+β = 1 + √ 2 + 1 -  √ 2

α+β  = 2/1

α*β =   (1 + √ 2 )( 1 -  √ 2)

α*β = 1-2

α*β = -1/1

a = 1, b = -2, c = -1

x² - 2x - 1