Решите уравнение: a) x₂+64 б) x₂-144=0 в) x₂+25=0 г) x₂-5=0 д) (x-1)₂=9 е) (x+5)₂=0

x^2 + 64 = 0 x^2 = - 64 - корней нет x^2 - 144 = 0 x^2 = 144 x1 = 12 x2 = - 12 x^2 + 25 = 0 x^2 = - 25 - корней нет x^2 - 5 = 0 x^2 = 5 x1 = √5 x2 = - √5 (x - 1)^2 = 9 x^2 - 2x + 1 - 9 = 0 x^2 - 2x - 8 = 0 D = 4 + 32 = 36 = 6^2 x1 = ( 2 + 6) / 2 = 4 x2 = ( 2 - 6) / 2 = - 2 (x+ 5)(x+ 5) = 0 x + 5 = 0 x = - 5

а)  x^2 + 64 = 0  x^2 = - 64 нет реш б) x^2 = 144 x₁ = - 12 x₂ = 12; в) x^2 + 25 = 0  x^2 = - 25 нет реш г) x^2 - 5  = 0 x^2 = 5  x₁ = - √5; x₂ = √5 д) (x - 1)^2 = 9  (x - 1 - 3)(x - 1 +3) = 0 (x - 4)(x + 2) = 0  x = 4; x = - 2; е) (x + 5)^2 = 0  x + 5 = 0 ; x = - 5