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allsm [11]
3 years ago
14

Place the following steps in order to describe how to solve the following equation?!

Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0
1) distribute 2 to each term within the parentheses

2) combining like terms ( which means subtract a 6-2)

3) subtract 4 from both sides of the equation

4) divide both sides of the equation by 4

Final answer should be ( x = 1/4 )
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Step-by-step explanation:

\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5

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