SOLUTION: Find the product of zeros of -2x2 +kx+6 .

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Question 757768: Find the product of zeros of -2x2 +kx+6 .
Found 3 solutions by josgarithmetic, Edwin McCravy, solver91311:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!


Using r and s for the zeros,




Better simplifying, multiplying each by :



The product:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
-2x² + kx + 6

If r1 and r2 are the zeros of

ax² + bx + c

then sum of zeros = r1+r2 = 
and product of zeros = r1r·sub>2 = 

For your problem:

-2x² + kx + 6

a = -2, b = k, c = 6

and product of zeros =  =  = -3

Edwin
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!




Use the quadratic formula:





Which you should recognize as a conjugate pair the product of which is the difference of two squares:



John

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