The equation that has the same solution as x² - 8x + 19 = -10 is:
(x - 4)² = -13
How to solve Quadratic equation by completing the square?
The steps to solve the quadratic equation x² - 8x + 19 = -10 by completing the square are:
Subtract 19 from both sides to get:
x² - 8x = -29
Add the square of half the coefficient of the (x) term to both sides to get:
x² - 8x + 4² = -29 + 4²
(x - 4)² = -29 + 16
(x - 4)² = -13