Question

Find the quadratic equation whose one root is 1 /3-root2

Answer 1

1/3-√2 = (3+√2)/7

irrational roots always exist in pairs

So, other root is (3-√2 )/ 7

From this, sum of roots is 6/7

product of roots is 1

Equation is x² - x (sum of roots) + product of roots = 0

x² - 6x/7 + 1 = 0

7x²-6x+7 = 0 is the required quadratic

Answer 2

Answer:

from the quadratic equation whose one root is 1+√2 the sum is 2