Write the quadratic equation in general form.
(x − 5)2 = 5
make sure you know what the general form is.
Then expand this to get
x^2-10x+25 = 5
Now just rearrange terms to place in general form.
To write a quadratic equation in general form, we start by expanding and simplifying the given equation.
(x − 5)2 = 5
Expanding the square on the left side:
(x − 5)(x − 5) = 5
Using the FOIL method to multiply:
x * x + x * (-5) - 5 * x + (-5) * (-5) = 5
Simplifying each term:
x^2 - 5x - 5x + 25 = 5
Combining like terms:
x^2 - 10x + 25 = 5
Finally, rewriting the equation in general form:
x^2 - 10x + 25 - 5 = 0
Simplifying further:
x^2 - 10x + 20 = 0
Therefore, the quadratic equation in general form is:
x^2 - 10x + 20 = 0