The correct substitution of the values a, b, and c into the quadratic formula is [tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2\; - \;4(3)(0)}}{2(3)}\\[/tex]
Given the following equation:
- [tex]1 = -2x + 3x^2 + 1[/tex]
To show the correct substitution of the values a, b, and c into the quadratic formula:
What is a quadratic equation?
A quadratic equation is a mathematical expression in which one (1) of its variables is to the degree (power) of 2 and as such has two roots.
In Mathematics, the standard form of a quadratic equation is given by;
[tex]ax^2 +bx+c=0[/tex]
Thus, we would express the given equation in standard quadratic form as follows:
[tex]1 = -2x + 3x^2 + 1\\
\\
3x^2 + 1-2x-1=0\\
\\
3x^2-2x=0[/tex]
Where:
For the quadratic formula:
Mathematically, the quadratic formula is given by:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}
[/tex]
Substituting the parameters into the formula, we have;
[tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2\; - \;4(3)(0)}}{2(3)}\\
[/tex]
Read more on quadratic equation here: https://brainly.com/question/1214333
