Solve x^2-4x+5=0 by completing the square

x = 2 ± i

Step-by-step explanation:

1.  Identify the coefficient of x.  Here that coefficient is -4.

2. Take half of this coefficient, obtaining -2.

3.  Square this result, obtaining 4

4.  Now add 4 to both sides of the given equation:

     x^2 - 4x + 4 + 5 = 4

5.  Rewrite the perfect square x^2 - 4x + 4 as the binomial (x - 2)^2:

      (x - 2)^2 = -1

6. Take the square root of both sides:

        x - 2 = ±√(-1) = ±i

7.  Solve for x:    x = 2 ±i

b

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq