а) (x+3)^2 - x^2 = 33x^2 + 6x + 9 - x^2 = 336x + 9 = 336x = 24x = 4
б) x^2 - (x-5)^2 = 10x^2 - (x^2 - 10x + 25) = 10x^2 - x^2 + 10x - 25 = 1010x - 25 = 1010x = 35x = 3.5
в) (x+12)^2 = x(x+8)x^2 + 24x + 144 = x^2 + 8x24x + 144 = 8x16x = -144x = -9
г) (x-3)(x+1) = x(x-2)x^2 - 2x - 3x + 3 = x^2 - 2xx^2 - 5x + 3 = x^2 - 2x-5x + 3 = -2x-3x = -3x = 1
а) (x+3)^2 - x^2 = 33
x^2 + 6x + 9 - x^2 = 33
6x + 9 = 33
6x = 24
x = 4
б) x^2 - (x-5)^2 = 10
x^2 - (x^2 - 10x + 25) = 10
x^2 - x^2 + 10x - 25 = 10
10x - 25 = 10
10x = 35
x = 3.5
в) (x+12)^2 = x(x+8)
x^2 + 24x + 144 = x^2 + 8x
24x + 144 = 8x
16x = -144
x = -9
г) (x-3)(x+1) = x(x-2)
x^2 - 2x - 3x + 3 = x^2 - 2x
x^2 - 5x + 3 = x^2 - 2x
-5x + 3 = -2x
-3x = -3
x = 1