SOLUTION: If the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square + beta square

Question 705705: If the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square + beta square
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If the roots of are and , then
and

(Reasons below)

Then can be easily calculated as:

or or

REASONS:
The sum of the solutions to the quadratic equation equals
and the product equals .
Why?
Because if roots of are and ,
factoring should transform that equation into
--> --> -->
and if that equation must be equivalent to ,
all three coefficients must be the same.
The coefficient of the term in is
--> .
The constant (or independent term) is
-->
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