Answer:
x = 60
Step-by-step explanation:
By applying mean ratio theorem in the given right triangles ΔABC and ΔBDC,
BD² = AD × DC
BD² = 36 × 64
BD =
BD = 48
By applying Pythagoras theorem in right triangle ΔADB,
AB² = AD² + BD²
x² = (48)² + (36)²
x² = 3600
x = 60
We want to find an equation for the given solutions and the multiplicity of each solution.
The equation is:
First, assume that we have a given equation and we know that we have solutions {x₁, x₂, ..., xₙ}, each one with multiplicity {m₁, ..., mₙ}.
The equation, of a polynomial that meets these requirements, is given by:
Where A is the leading coefficient and can be any real number.
Now that we know that, here we have the solutions:
We don't have information about the leading coefficient, so we assume it is equal to 1.
Then the equation is:
If you want to learn more, you can read: