Question

Find the quadratic equation whose roots are -3+5i and -3-5i. Plz explain it breifly

Answer 1

Step-by-step explanation:

Quadratic Equation with roots α & β is given by ,

x² - (α + β) x + αβ = 0

Required equation ,

x² - (- 3 + 5i - 3 - 5i) x + (- 3 + 5i) (-3 - 5i) = 0

=> x² + 6x + 9 + 25 = 0

=> x² + 6x + 34 = 0