Answer:
d (x − 1)^2 = −24
Explanation:
To write the equation x^2 - 2x + 25 = 0 in the form of (x - a)^2 = b, where a and b are integers, we need to complete the square.
First, let's complete the square on the left side of the equation:
x^2 - 2x + 25 = 0
To complete the square, we need to add and subtract the square of half the coefficient of x. In this case, the coefficient of x is -2, so we have:
x^2 - 2x + (-2/2)^2 = -25 + (-2/2)^2
Simplifying:
x^2 - 2x + 1 = -25 + 1
x^2 - 2x + 1 = -24
Now, we can rewrite the left side of the equation as a perfect square:
(x - 1)^2 = -24
So, the equation x^2 - 2x + 25 = 0 can be written in the form (x - a)^2 = b as:
d (x - 1)^2 = -24
Hope this helps!