SOLUTION: If α and β are the roots of 2x²-2x+5=0, find the values of (1/α+1)+(1/β).
Hence determine the nature of the roots.
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Question 1132053: If α and β are the roots of 2x²-2x+5=0, find the values of (1/α+1)+(1/β).
Hence determine the nature of the roots.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
we need to use quadratic formula to find roots
and, to determine the nature of the roots we can check if discriminant is <,
if then, as we know, the roots arevalues
=> the roots are imaginary
now use quadratic formula to find roots
...simplify
roots:
let and
then,
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
My internal feeling says me that the post is incorrect.
Double check your input with your source.
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