SOLUTION: y= x -2x²-8 Determine the zeros of your function. Give an algebraic reason for the existence or non-existence of real-valued zeros of your quadratic function.

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Question 391842: y= x -2x²-8
Determine the zeros of your function. Give an algebraic reason for the existence or non-existence of real-valued zeros of your quadratic function.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Reorder the terms to produce y+=+-2x%5E2+%2B+x+-+8. By the quadratic formula,

. Since the roots have an imaginary part not equal to zero, the zeros of the function are complex.