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>
