Answer:
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Step-by-step explanation:
Hello!
Standard Form of a Quadratic: [tex]ax^2 + bx +c[/tex]
Quadratic Formula: [tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.
Question: [tex]2x^2 +4x+2[/tex]
Solution:
Determine the values of "a", "b", and "c".
Plug it into the quadratic equation to solve.
Solve:
- [tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
- [tex]x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}[/tex]
- [tex]x = \frac{-4 \pm\sqrt{16 - 16}}{4}[/tex]
- [tex]x = \frac{-4 \pm\sqrt{0}}{4}[/tex]
- [tex]x = \frac{-4}{4}[/tex]
- [tex]x = -1[/tex]
The value of x is -1.
