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Keep things simple:mark2142 said:
$$(x^2)^{1/2} = \sqrt{x^2} = |x|$$$$x^{(2*\frac 1 2)} = x$$
Is it Possible for x^2 to Exceed 900?
- Thread starter mark2142
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- Inequalities Precalculus
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SUMMARY
The discussion centers around the inequality \(x^2 > 900\) and how to interpret it correctly. Participants clarify that the correct interpretation leads to two cases: \(x > 30\) or \(x < -30\). The expression \(\sqrt{900} = 30\) is emphasized as the principal square root, and the importance of handling inequalities with care, especially regarding negative values, is highlighted. The conclusion is that \(x\) must satisfy either of the two derived conditions to be valid.
PREREQUISITES- Understanding of basic algebraic inequalities
- Knowledge of square roots and absolute values
- Familiarity with mathematical notation and LaTeX
- Ability to analyze and interpret mathematical expressions
- Study the properties of inequalities in algebra
- Learn about the implications of absolute values in inequalities
- Explore graphical representations of quadratic functions
- Practice solving inequalities involving square roots
Students, educators, and anyone interested in mastering algebraic inequalities and their graphical interpretations.
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