To solve this equation, we first need to expand and simplify both sides.
First, simplify the left side:
8 - (x^2 - 9) = 10 - (x^2 - 2x + 1)
Now, distribute the negative sign on the left side and simplify both sides further:
8 - x^2 + 9 = 10 - x^2 + 2x - 117 - x^2 = 9 - x^2 + 2x - 117 = 8 + 2x2x = 9x = 4.5
Therefore, the solution to the equation is x = 4.5.
To solve this equation, we first need to expand and simplify both sides.
First, simplify the left side:
8 - (x^2 - 9) = 10 - (x^2 - 2x + 1)
Now, distribute the negative sign on the left side and simplify both sides further:
8 - x^2 + 9 = 10 - x^2 + 2x - 1
17 - x^2 = 9 - x^2 + 2x - 1
17 = 8 + 2x
2x = 9
x = 4.5
Therefore, the solution to the equation is x = 4.5.