Answer:
Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor. But sometimes the quadratic is too messy, or it doesn't factor at all, or you just don't feel like factoring. While factoring may not always be successful, the Quadratic Formula can always find the solution.
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
Answer:
9/25x
Step-by-step explanation:
3/5/x ×12/20
3/5×1/x ×12/20
36/100x
Divide both by 4
9/25x
The exact value of x cannot be determined because we don't know what the equation is equated to
So we will have to leave the answer as 9/25x
Answer:
Hard questions
Step-by-step explanation:
Answer:
The family of possible values for 
are:
Step-by-step explanation:
By Linear Algebra, we can calculate the angle by definition of dot product:
(1)
Where:
- Angle between vectors, in sexagesimal degrees.
- Norms of vectors 
and 
If is acute, then the cosine function is bounded between 0 a 1 and if we know that 
and 
, then the possible values for are:
Minimum (
)
Maximum (
)
With the help of a graphing tool we get the family of possible values for are:
Note: a² - b² = (a-b)(a+b)
9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)
