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erikacastro259
18.03.2021 •
Mathematics
The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?
A) factor
B) simplifi
C) complete the square
D) take the square root of both sides
Solved
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Ответ:
Step-by-step explanation:
d
Ответ:
A) Factor
Step-by-step explanation:
Ответ:
9514 1404 393
Explanation:
Here's one way to go at it.
Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)
x = angle OAB = angle OBA
y = angle OAC = angle OCA
z = angle OBC = angle OCB
Consider the angles at each of the points A, B, C.
At A, we have ...
angle CAB = x + y
At B, we have ...
angle CBA = x + z
At C, we have ...
angle ACB = y + z
The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...
x + x + ∠AOB = (x+y) +(x+z) +(y+z)
∠AOB = 2(y+z) = 2∠ACB
This shows ∠AOB = 2×∠C, as required.