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Mathematics 18 Online
OpenStudy (jenniferjuice):

Solve for x in the proportion

OpenStudy (jenniferjuice):

OpenStudy (anonymous):

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OpenStudy (anonymous):

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OpenStudy (anonymous):

2. add/subtract to get all terms on one side 3. Factor or graph to find value(s) of x

OpenStudy (anonymous):

tell me if you have any other questions.

OpenStudy (zale101):

Proportion says that two ratios (or fractions) are equal.

OpenStudy (theeric):

Perhaps a good first step is using this method: \[\frac{a}{b}=\frac{c}{d}\]Multiply both sides by \(b\). Multiply both sides by \(d\). \[\frac{a}{b}bd=\frac{c}{d}bd\\\implies\frac{a}{\cancel b}\cancel bd=\frac{c}{\cancel d}b\cancel d\\\implies ad=cb\]

OpenStudy (wolf1728):

That equation can be rewritten: x² +x = x + 12 x² -12 =0 It should be a simple matter to solve for 'x' from there.

OpenStudy (jenniferjuice):

i got x ≈ −3.14 and x ≈ 4.14

OpenStudy (theeric):

I got something a little different! Following @wolf1728 's math, add \(12\) to both sides to get \(x^2=12\) Then \(\sqrt{x^2}=\sqrt{12}\). that solves to be \(\pm x=\sqrt{12}\) \(\implies x= \sqrt{12}\) or \(x=-\sqrt{12}\). \(\sqrt{12}\) can be simplified, but there's no reason to do so if you're just going to use a calculator!

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