Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations
Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations
Secondary 4
The matrices \(\mathbf{A} = \begin{pmatrix} 2q^2 + 5q - 10 & -3 \\ 6 & 3 \end{pmatrix}\) and \(\mathbf{B} = \begin{pmatrix} 2 & -3 \\ 6 & 3p^2 - 4p - 8 \end{pmatrix}\) are equal. Find the possible values of \(p\) and \(q\). If the answer is not exact, correct the answer to \(3\) significant figures.
Solution:
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Answer:\(p=(2\pm\sqrt{37})/3\), approximately \(2.69\) or \(-1.36\); \(q=\frac32\) or \(-4\).
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