Решение:
x+10x+10x+10^2 = 2−x2-x2−x^2x+10x+10x+10x+10x+10x+10 = 2−x2-x2−x2−x2-x2−x Expanding both sides:x^2 + 20x + 100 = 4 - 4x - 4x + x^2x^2 + 20x + 100 = 4 - 8x + x^2Combining like terms:20x + 100 = 4 - 8x28x = -96x = -96/28x = -24/7
Ответ: x = -24/7
Решение:
x+10x+10x+10^2 = 2−x2-x2−x^2
x+10x+10x+10x+10x+10x+10 = 2−x2-x2−x2−x2-x2−x Expanding both sides:
x^2 + 20x + 100 = 4 - 4x - 4x + x^2
x^2 + 20x + 100 = 4 - 8x + x^2
Combining like terms:
20x + 100 = 4 - 8x
28x = -96
x = -96/28
x = -24/7
Ответ: x = -24/7