If x^{2}\:−\:7x\: + \:1\: = \text" 0", then find the value of (x^{4}\: + \:\frac{1}{x^{2}})\: \div \:(x^{2}\: + \text" 1)".

SSC CGL 20 Jul 2023 Shift 1 Paper

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If $x^{2}\:−\:7x\: + \:1\: = \text" 0 $", then find the value of $(x^{4}\: + \:\;{1}/{x^{2}})\: ÷ \:(x^{2}\: + \text" 1) $".

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