To solve this equation, we first need to expand both sides:
(х + 10)2 = (х + 10)(х + 10) = х2 + 10х + 10х + 100 = х2 + 20х + 100
(2 - х)2 = (2 - х)(2 - х) = 4 - 2х - 2х + х2 = 4 - 4х + х2
Now, set the expanded expressions equal to each other and solve for x:
х2 + 20х + 100 = 4 - 4х + х220х + 100 = 4 - 4х24х + 100 = 424х = -96x = -4
Therefore, the solution to the equation (х + 10)2 = (2 − х)2 is x = -4.
To solve this equation, we first need to expand both sides:
(х + 10)2 = (х + 10)(х + 10) = х2 + 10х + 10х + 100 = х2 + 20х + 100
(2 - х)2 = (2 - х)(2 - х) = 4 - 2х - 2х + х2 = 4 - 4х + х2
Now, set the expanded expressions equal to each other and solve for x:
х2 + 20х + 100 = 4 - 4х + х2
20х + 100 = 4 - 4х
24х + 100 = 4
24х = -96
x = -4
Therefore, the solution to the equation (х + 10)2 = (2 − х)2 is x = -4.