Solve the equation fast please! I will say thank you and mark you Brainliest!
1 answer:
Answer:
x = ±5
Step-by-step explanation:
Multiply by (x-1)(x+1) and you get ...
(x+1) - (x -1) = (x -1)(x +1)/12
24 = x^2 -1 . . . . simplify and multiply by 12
0 = x^2 -25 . . . subtract 24
0 = (x -5)(x +5) . . . factor the difference of squares
Values of x that make the factors 0 are x=5 and x=-5.
The solutions are x=-5 or x=5.
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Subtracting the right side gives an equation that has its solutions at the x-intercepts of the left-side expression. These are seen to be -5 and +5 in the attached graph.
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Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as
In your case,
Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)
