SOLUTION: Please help me with this multiple choice question:
Which quadratic equation has the roots 3+i and 3-i?
a) x^2 + 6x-10 = 0 b) x^2 + 6x + 8= 0 c) x^2 - 6x+10 =
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Question 197839: Please help me with this multiple choice question:
Which quadratic equation has the roots 3+i and 3-i?
a) x^2 + 6x-10 = 0 b) x^2 + 6x + 8= 0 c) x^2 - 6x+10 = 0 d) x^2- 6x-8 =0
thank you!
Found 2 solutions by edjones, solver91311:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
roots 3+i and 3-i
x=3+i, x=3-i
x-3+i=0
x-3-i=0
(x-(3+i))(x-(3-i))=0
x^2-6x+10=0 c)
.
Ed
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If a quadratic equation has roots 
and 
, then 
and 
are factors of the quadratic polynomial, so:
\right)\left(x - (3 - i)\right))
are the factors of the polynomial that you are looking for. Just multiply it out and collect like terms to find the appropriate quadratic polynomial. Hint: Consider 3 + i and 3 - i as single numbers and use FOIL. The product of those two numbers will be the difference of two squares. Also remember that 
John
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