Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0?
1 answer:
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Answer:
Distributive property says that:
Addition property of equality:
if x = y then x+z = y+z
Division property of equality:
if x = y then
As per the statement:
Given the equation:
Tyra solve this equation as shown below:
1.
[Distributive property]
2.
[Addition property of equality]
3.
{Division property of equality]
Therefore, the property Tyra used in line 1 was : Distributive Property.
Non-negative integers are positive integers or zero.
1. When then there are such possible cases for
and
In total 11 solutions for
2. For there are such possible cases for
and
In total 10 solutions for
3. This process gives you
- for
- 9 solutions;
- for
- 8 solutions;
- for
- 7 solutions;
- for
- 6 solutions;
- for
- 5 solutions;
- for
- 4 solutions;
- for
- 3 solutions;
- for
- 2 solutions;
- for
- 1 solution.
4. Add all numbers of solutions:
Answer: there are 66 possible solutions (with non-negative integer variables)