\[\begin{aligned}
x_1 &= \frac{-b+\sqrt{b^2-4ac}}{2a} \\
x_2 &= \frac{-b-\sqrt{b^2-4ac}}{2a}
\end{aligned}\]
Variables
aquadratic coefficient
blinear coefficient
cconstant term
x1first root
x2second root
Description
What is this formula?
This formula solves quadratic equations of the form:
ax^2+bx+c=0
It calculates the two possible roots using the quadratic formula.
When to use it
Use this formula when solving second-degree polynomial equations with one variable.
Example
For:
x^2-5x+6=0
The roots are:
x1=3
x2=2
Applications
- Algebra and mathematics
- Projectile motion calculations
- Engineering analysis
- Physics equations
- Optimization problems