Решение:
(x+12)^2 = x(x+8)
(x+12)(x+12) = x(x+8)
Expanding both sides:
x^2 + 24x + 144 = x^2 + 8x
Subtracting x^2 from both sides:
24x + 144 = 8x
Subtracting 8x from both sides:
16x + 144 = 0
Subtracting 144 from both sides:
16x = -144
Dividing by 16:
x = -9
Поэтому, значение x, при котором (x+12)^2 = x(x+8) равно -9.
Решение:
(x+12)^2 = x(x+8)
(x+12)(x+12) = x(x+8)
Expanding both sides:
x^2 + 24x + 144 = x^2 + 8x
Subtracting x^2 from both sides:
24x + 144 = 8x
Subtracting 8x from both sides:
16x + 144 = 0
Subtracting 144 from both sides:
16x = -144
Dividing by 16:
x = -9
Поэтому, значение x, при котором (x+12)^2 = x(x+8) равно -9.