To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.
So in this case, you must divide 12 by 3.14, which gives you 3.82.
I even double checked this, and should be correct then.
Answer:
your answer is 12 units
Step-by-step explanation:
I hope it helps
