Question

Write quadratic equation of 1/α,1/β

Answer 1

Find the quadratic equation:

Step-by-step explanation:

$\ Given \ value:\\\\roots:\\\\\frac{1}{\alpha} , \frac{1}{\beta} \\\\\ Solution:\\\\\ factor:\\\\\ (x-\frac{1}{\alpha}) \ \ \ \ \ and \ \ \ \ (x-\frac{1}{\beta} )\\\\\ multiply \ the \ factor \ value\\\\ (x-\frac{1}{\alpha}) (x-\frac{1}{\beta})\\\\ \righarrow x^2- x\frac{1}{\beta}-x\frac{1}{\alpha}+\frac{1}{\alpha \beta}}\\\\ \righarrow x^2- x(\frac{1}{\beta}+\frac{1}{\alpha})+\frac{1}{\alpha \beta}}\\\\ \righarrow x^2- x(\frac{\alpha+\beta}{\alpha\beta})+\frac{1}{\alpha \beta}}$

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