Answer:
- x = ±√3, and they are actual solutions
- x = 3, but it is an extraneous solution
Step-by-step explanation:
The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...
... x^2(6x -18) = (2x -6)(9)
... 6x^2(x -3) -18(x -3) = 0
...6(x -3)(x^2 -3) = 0
... x = 3, x = ±√3
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Alternatively, you can subtract the right side of the equation and collect terms to get ...
... x^2/(2(x -3)) - 9/(6(x -3)) = 0
... (1/2)(x^2 -3)/(x -3) = 0
Here, the solution will be values of x that make the numerator zero:
... x = ±√3
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So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.
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<em>Comment on the graph</em>
For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.
Answer:
Rate of change in elevation = 0.6 in/year
Step-by-step explanation:
Note:
Current elevation (Missing) = 7,602 feet
Given:
Old elevation = 7,602 feet
Number of year = 7,600
Find:
Rate of change in elevation
Computation:
Change in elevation = 7,602 - 7,600
Change in elevation = 2 ft
Change in elevation = 2 x 12 = 24 inches
Rate of change in elevation = 24 / 40
Rate of change in elevation = 0.6 in/year
Answer:
There are 2000 nibbles in 1 kilobyte
Step-by-step explanation: