SOLUTION: Find a quadratic equation with integral coefficients having the given roots i√5, -i√5 Please show me all steps so that I can do this myself. Thank you in advance

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find a quadratic equation with integral coefficients having the given roots i√5, -i√5 Please show me all steps so that I can do this myself. Thank you in advance       Log On


   

Question 633130: Find a quadratic equation with integral coefficients having the given roots
i√5, -i√5
Please show me all steps so that I can do this myself. Thank you in advance

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
sum of roots = i%2Asqrt%285%29+-+i%2Asqrt%285%29+=+0
product of roots = %28i%2Asqrt%285%29%29%28-i%2Asqrt%285%29%29+=+5
Quadratic Equation: x%5E2+-+%28sum_of_roots%29%2Ax+%2B+%28product_of_roots%29+=+0
Answer: highlight%28x%5E2+%2B+5+=+0%29