Question

Write a quadratic equation whose roots are 5 + i radical 2 and 5 – i radical 2

____ x^2 + _____ x+ ______=0

Answer 1

for roots r1 and r2, the factors are (x-r1)(x-r2)

given
r1 and r2 arer 5+i√2 and 5-i√2

(x-(5+i√2))(x-(5-i√2))=
(x-5-i√2)(x-5+i√2)=
remember that i²=-1
x²-10x+27