X square minus 2 mx plus m square minus n square is equal to zero.


Solve by quadratic equations formula

Решим через дискриминантa = 1b = - 2mc = m² - n²D = b² - 4acD = ( - 2m)² - 4(1)(m² - n²)D = 4m² - 4m²  + 4n²D = 4n²x = ( - b ± √D)/2ax = [ - ( - 2m) ± √4n²] / 2x = (2m ± 2n)/2 = 2(m ± n)/2 =  m ± nx1 = m + nx2 = m - n

x² - 2mx + m² - n² = 0(x - m)² - n² = o(x - m - n)(x - m + n) = 0x - m - n = 0     ⇒  x₁ = m + nx - m + n = 0    ⇒  x₂ = m - n