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Power of a Power

Solve the fol...

Question

Solve the following inequation using algebraic method.
$4 x^{2} + 4 x + 1 \leq 0$

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Solution

$4 x^{2} + 4 x + 1 \leq 0 (2 x + 1)^{2} \leq 0 | 2 x - 1 | \leq 0 | x | \leq \frac{1}{2} x \in [\frac{- 1}{2}, \frac{1}{2}]$

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