Answer
FALSE.
There are three methods that can be used to solve for the solution of an equation in quadratic form. These are:
1. By factoring
2. By completing the square
3. By using the quadratic formula.
Work Step by Step
FALSE.
There are three methods that can be used to solve for the solution of an equation in quadratic form. These are:
1. By factoring
2. By completing the square
3. By using the quadratic formula.
For example: $ x^2-2x+1=0$
By factoring:
$(x-1)^2=0$
$x=1$
By completing the square:
$ x^2-2x=-1$
$ x^2-2x=-1$
$ x^2-2x+1=-1+1$
$ x^2-2x+1=0$
$ (x-1)^2=0$
$x=1$
By using the quadratic formula:
$a=1$, $b=-2$, $c=1$
$x = \frac{-b±\sqrt{b^2-4ac}}{2a}$
$x = \frac{-(-2)±\sqrt{(-2)^2-(4⋅1⋅1}}{2⋅1}$
$x = \frac{2±\sqrt{4-4}}{2}$
$x=1$
