SOLUTION: find all the zeroes of x²+(3-√2)x-3√2 if one of its zero is √2?

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Question 1126944: find all the zeroes of x²+(3-√2)x-3√2 if one of its zero is √2?
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


-3 by inspection


John

My calculator said it, I believe it, that settles it
Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.

The Vieta's formula (theorem) says that the product of two roots of this quadratic equation is the constant term:


    . = .


Since one of the roots is  ,  the other root is   = -3.


Exactly as the other tutor states - but with an appropriate explanation.


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