(x-4)^2-x^2=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
(x-4)^2-x^2 = 0
Expand expressions:
16 + x^2 - 8*x - x^2 = 0
Reducing, you get:
16 - 8*x = 0
Move free summands (without x)
from left part to right part, we given:
$$- 8 x = -16$$
Divide both parts of the equation by -8
x = -16 / (-8)
We get the answer: x = 2
Sum and product of roots
[src]
$$2$$
$$2$$
$$2$$
$$2$$