Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

IP 3

A solid rectangular block has a square base of side \(x\) cm and height of \(y\) cm. The total surface area of the rectangular block is \(90\) cm\(^{2}\) and the total length of the \(12\) edges is \(48\) cm. Show that \({{x}^{2}}-8x+15=0\) and find the possible values of \(x\) and of \(y\).

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Answer:\((x,y)=(5,2)\) or \((3,6)\)

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