SOLUTION: Quadratic Inequalities Find the roots 1. x^2 + 2x + 1 ≤ 0 2. x^2 - 6x + 9 ≥ 0

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Question 1042441: Quadratic Inequalities
Find the roots
1. x^2 + 2x + 1 ≤ 0
2. x^2 - 6x + 9 ≥ 0

Answer by ikleyn(53763) About Me  (Show Source):
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Quadratic Inequalities
Find the roots
1. x^2 + 2x + 1 <= 0
2. x^2 - 6x + 9 >= 0
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1.  x%5E2+%2B+2x+%2B+1 = %28x%2B1%29%5E2.

    The only solution of the inequality  x%5E2+%2B+2x+%2B+1 <= 0  is the point x = -1, where the polynomial is equal to 0.

2.  x%5E2+-+6x+%2B+9 = %28x-3%29%5E2.

    The solution of the inequality  x%5E2+-+6x+%2B+9 >= 0  is the entire number line (all real numbers).