Answer:
m = - 2, m = 12
Step-by-step explanation:
Given
m² - 10m - 13 = 11 ( add 13 to both sides )
m² - 10m = 24
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(- 5)m + 25 = 24 + 25, that is
(m - 5)² = 49 ( take the square root of both sides )
m - 5 = ± [tex]\sqrt{49}[/tex] = ± 7 ( add 5 to both sides )
m = 5 ± 7, thus
m = 5 - 7 = - 2 or m = 5 + 7 = 12
