Answer:
x = 2 ±
![\sqrt11}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l08scshjspl5564q1wv0rky1x6ss694wpx.png)
Explanation:
Given
x² - 4x - 7 = 0 ( add 7 to both sides )
x² - 4x = 7
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(- 2)x + (- 2)² = 7 + (- 2)²
(x - 2)² = 7 + 4 = 11 ( take the square root of both sides )
x - 2 = ±
( add 2 to both sides )
x = 2 ±
← exact solutions