Question

the quadratic equation whose one rational rootis3+√2 is​

Answer 1

Answer:

x² - 6x + 7

Step-by-step explanation:

For quadratic equation, if one root is 3 + √2

then the other will be 3 - √2

∴ Product of roots = (3 + √2)(3 - √2) = 9 - 3√2 + 3√2 - 2 = 7

∴ Sum of roots = (3 + √2) + (3 - √2) = 6

quadratic equation = x² - (α + β)x + αβ

                                = x² -(6)x + 7

                                = x² - 6x + 7