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oee [108]
3 years ago
12

If you join all the vertices of a heptagon how many quadrilaterals will you have

Mathematics
1 answer:
dem82 [27]3 years ago
5 0
When you join all the vertices, you can get 35 quadrilaterals.
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Solve: x^+4/x-1 = 5/x-1
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The first step for solving this equation is to determine the defined range.
\frac{ x^{4}  }{x-1} = \frac{5}{x-1}, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
x^{4} = 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/- \sqrt[4]{5}
Separate the solutions.
x = \sqrt[4]{5}           , x ≠ 1
x = -\sqrt[4]{5} 
Check if the solution is in the defined range.
x = \sqrt[4]{5} 
x = -\sqrt[4]{5} 
This means that the final solution to your question are the following:
x = \sqrt[4]{5}          
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Let me know if you have any further questions.
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