Решите уравнение: 10m+(2-m)^2=63-(3-m)^2

Question

Решите уравнение:
10m+(2-m)^2=63-(3-m)^2

Answer 1

10m + m^2 - 4m + 4 = 63 - (m^2 - 6m + 9)
m^2 + 6m + 4 = 63 - m^2 + 6m - 9 
m^2 + 6m + 4 = - m^2 + 6m + 54
2m^2 - 50 = 0 
2m^2 = 50
m^2 = 25
m₁ = - 5;
m₂ = 5