Can I simplify (12960 - 0.1x^2) / 0.2x^2 any further? How?
nope.
unless you count (129600-x^2)/2x^2 as simpler
Thank you!
How would I solve
1 = (12960 - 0.1x^2) / 0.2x^2
just as you normally would:
1 = (12960 - 0.1x^2) / 0.2x^2
1 = (129600-x^2)/2x^2
2x^2 = 129600 - x^2
3x^2 = 129600
x^2 = 43200
x = ±120√3
To simplify the given expression, let's break it down step by step:
1. Start with the given expression: (12960 - 0.1x^2) / (0.2x^2)
2. Notice that both the numerator and denominator have a common factor of x^2. Let's factor it out:
(12960 - 0.1x^2) / (0.2x^2) = x^2 * (12960/x^2 - 0.1) / (0.2x^2)
3. Simplify within the parentheses:
12960/x^2 - 0.1
4. Since there are no common factors between 12960 and x^2, we cannot simplify it any further. Similarly, the constant term -0.1 cannot be simplified.
Therefore, the simplified expression is:
x^2 * (12960/x^2 - 0.1) / (0.2x^2)
And it cannot be simplified any further.