Сократите дробь[tex] \frac{x+3}{ x^{2} +x-6} [/tex]. Created by alihan242. algebra-ru

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alihan242 @alihan242

August 2022 1 10 Report

Сократите дробь[tex] \frac{x+3}{ x^{2} +x-6} [/tex]

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Решение:

$\frac{x+3}{ x^{2} +x-6}= \frac{x+3}{(x+3)(x-2)} = \frac{1}{x-2}$
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Ниже показано уравнение в котором видно то откуда я ВЗЯЛ $(x-2)(x+3)$

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

$x^2+x-6=0\\\\D=1^2+4*6=1+24=25=5^2\\\\ x_{1} = \frac{(-1+5)}{2} = \frac{4}{2} =2\\\\ x_{2} = \frac{(-1-5)}{2} =- \frac{6}{2} =-3\ \\\\x^2+x-6=[x-2][x+3]$

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