Question

Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1

Answer 1

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + ⅔ x - 1/9 = 0