Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ±
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
The quadrilateral formed by this process will always be a parallelogram
<h3>Quadrilaterals</h3>A quadrilateral is simply any polygon that has four sides and four corners.
Common examples are:
A square is drawn at the coordinates:
(0,0), (6,0), (0,6) and (6,6)
The midpoints of the square sides are at the following coordinates:
(0,3), (3,6), (6,3) and (3,0)
When the points of the midpoints are joined together, they form a parallelogram
<h3>Figure 2</h3>A trapezoid is drawn at the coordinates:
(0,0), (2,6), (8,6) and (10,0)
The midpoints of the square sides are at the following coordinates:
(5,0), (5,6), (1,3) and (9,3)
When the points of the midpoints are joined together, they form a parallelogram
Hence, the quadrilateral formed by this process will always be a parallelogram
Read more about quadrilaterals and parallelograms at:
