Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

Quadratic Functions, Equations and Inequalities - Quadratic Inequalities

TGM Original Questions

Solve the following quadratic inequalities.

\(36{{\left( 3-x \right)}^{2}}\le {{x}^{2}}\)
\(9{{\left( 4-6x \right)}^{2}}\ge 81{{x}^{2}}\)

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Answer:(a) \(\dfrac{18}{7}\leq x\leq\dfrac{18}{5}\) (b) \(x\leq\dfrac49\) or \(x\geq\dfrac43\)

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