Quadratic Equation Solver
Quadratic Equation Solver
\[\begin{aligned}
x_1 &= \frac{-b+\sqrt{b^2-4ac}}{2a} \\
x_2 &= \frac{-b-\sqrt{b^2-4ac}}{2a}
\end{aligned}\]
Variables
a = quadratic coefficient
b = linear coefficient
c = constant term
x1 = first root
x2 = second 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
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