Question

(m - 5)² - (m + 2)² = -2​

Answer 1

Step-by-step explanation:

( m - 5 ) ² = m² + 5² - 2(m)(5)

m² + 25 -10m

( m + 2 ) ² = m² + 2² + 2(m)(2)

m² + 4 + 4m

m² + 25 - 10m - (m² + 4 + 4m) = -2

m² + 25 - 10m - m² - 4 - 4m = -2

m² - m² - 10m - 4m + 25 - 4 = -2

-14m + 21 = -2

-14m = -2 -21

-14m = -23

14m = 23

m = 23/14

Answer 2

Answer:

[tex]{m {}^{2} + 25 - 10m} - m {}^{2} - 4 - 4m = - 2 \\ \\ m {}^{2} - m {}^{2} - 10m - 4m + 25 - 4 = - 2 \\ - 14m + 21 = - 2 \\ - 14m + 21 + 2 = 0 \ \\ - 14m + 23 = 0 \\ 14m - 23 = 0[/tex

m = 23/14