Check if the expression is quadratic equation (x-5)^2+1=3x-4

For the given expression to represent a quadratic
equation, it has to have the following form: ax^2 + bx + c =
0.

We'll begin by expanding the square from the left
side:

(x-5)^2 = x^2 - 10x +
25

We'll re-write the
equation:

x^2 - 10x + 25 + 1 = 3x -
4

We'll combine like terms from the left
side:

x^2 - 10x + 26 = 3x -
4

We'll subtract 3x - 4:

x^2 -
10x + 26 - 3x + 4 = 0

We'll combine like
terms:

x^2 - 13x + 30 =
0

The final result is a quadratic equation
x^2 - 13x + 30 = 0.