Задача Задача №184719
А
А
(х+5)² - (х-1)² = 48
Let's expand the expressions:
(х+5)² - (х-1)² = (х+5)(х+5) - (х-1)(х-1) = х² + 10х + 25 - (х² - 2х + 1) = х² + 10х + 25 - х² + 2х - 1 = 12х + 24
So, the equation simplifies to:
12х + 24 = 48
Now we can solve for х:
12х = 48 - 24 12х = 24
х = 24 / 12 х = 2
Ответ: значение х равно 2.