Question

Which of the following quadratic equations has roots of 2+i
and 2−i
?(1 point)
Responses

x2−4x+5=0
x squared minus 4 x plus 5 is equal to 0

x2+4x+5=0
x squared plus 4 x plus 5 is equal to 0

x2−4x−5=0

Answer 1

Roots: 2+i and 2−i. Sum = (2+i)+(2−i)=4. Product = (2+i)(2−i)=4+1=5. So the quadratic is x^2 − (sum)x + (product) = x^2 − 4x + 5 = 0.