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Compassionate
 one year ago
Quick question
Compassionate
 one year ago
Quick question

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2quick would be having it in the topic \(\uparrow\)

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{1}{x} = \frac{x  1}8  \frac{x}{4} \] My first step would be \[\frac{x1}{8}  \frac{x \times 2}{4 \times 2}\]

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0Didn't want to put more than one line of LaTeX in the subject and make it freeze up on me.

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2I would multiply everything by \(8x\)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge \frac{ a }{ b } \pm \frac{ c }{ d } \implies \frac{ ad \pm bc }{ bd }\] pretty much with all fractions

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I like your style zz

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{4(x  1)  8x}{32} \]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1You can now cross multiply with the left side if you like

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0\[4x  4  8x/32 = 1/x\]

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0I get it. So when adding or subtracting, we can use the ab + bd/ad rule, and when multiplying, we can cross multiply, and when dividing we can take the recipricol?

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Yeah sort of, but know what kind of algebraic rules are going on, when we cross multiply for example we're just multiplying both sides by 32 and x, so yes reciprocal. :)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I mean this rule isn't anything special, it's just as you would do fractions regularly, finding common denominator..etc

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.2In general it is a good idea to learn the following trick \[\dfrac{1}{a}+\dfrac{1}{b}=\dfrac{1}{c}\\ abc\dfrac{1}{a}+abc\dfrac{1}{b}=abc\dfrac{1}{c}\\ bc+ac=ab\] When we have fractions, it is easy to clear the denominators when we have an equals sign!

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Hehe yeah, I love that

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1Especially with partial fractions

Compassionate
 one year ago
Best ResponseYou've already chosen the best response.0Yes. Clearing fractions. I understand. I'm just brushing up on my skills.
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