Question

x² - 24x + 144 = 25

Answer 1

x² - 24x + 144 = 25
x² - 24x + 144 - 25 = 0
x² - 24x + 119 = 0

a = 1; b = - 24; c = 119

Δ = b² - 4ac
Δ = (-24)² - 4.1.119
Δ = 576 - 4.119
Δ = 576 - 476
Δ = 100

x = - b + / - √Δ = - (- 24) + / - √100
            2a                      2.1

x' = 24 + 10 = 34/2 = 17
           2

x" = 24 - 10 = 14/2 = 7
             2

Resp.: x = 7 e x = 17