SOLUTION: Given: y = x^2 + 2x +6 Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.

SOLUTION: Given: y = x^2 + 2x +6 Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.

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Question 930675: Given: y = x^2 + 2x +6
Determine the zeros of the function. Give an algebraic reason for the existence or nonexistence of real-valued zeros.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
By the quadratic formula,

No real zeroes because the discriminant is negative. Another way to see that there are no real zeroes w/out using the discriminant is the fact that

, but this is positive for all real x, so no real zero could exist.
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