Hi,
I am trying to solve graphing quadratic equations. One of the problems is written as -x^2= -2x-1. So if I wanted to put this equation in the proper quadratic equation form, would it be -2x-1-x^2, or -x^2+-2x-1? I'm really not sure.
The proper form would be -x^2 +2x -1. You could also put it as x^2 -2x -1. Either way they will both factor the same. Just make sure its in standard form (ax^2 +bx +c)
Thank you.
Either -x^2 + 2x + 1 = 0 or
x^2 -2x -1 = 0 are in "proper quadratic form".
To put the equation -x^2 = -2x - 1 in the proper quadratic equation form, you need to rearrange the terms in descending order of powers of x. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.
In your equation, -x^2 = -2x - 1, the terms are not currently arranged in descending order. To rearrange them properly, you need to rewrite the equation as:
-x^2 + 2x + 1 = 0
By changing the signs of -2x and -1, you end up with -x^2 + 2x + 1 = 0, which is the quadratic equation written in standard form.
Therefore, the correct form of the quadratic equation is -x^2 + 2x + 1 = 0.