Quadratic Formula Calculator
Solve quadratic equations of the form ax² + bx + c = 0.
Result
Two real roots: x₁ = 2.0000, x₂ = 1.0000
About this Tool
The Quadratic Formula Calculator solves quadratic equations of the form ax² + bx + c = 0. This is a staple of algebra, and the calculator provides the roots of the equation, whether they are real or complex.
Common Use Cases
Algebra Homework
Quickly find the solutions to quadratic equations for math assignments.
Physics Problems
Solve for variables in physics problems that involve projectile motion or other phenomena modeled by quadratic equations.
Engineering
Find points of interest in engineering problems that can be modeled with quadratic functions, such as the shape of a parabolic antenna.
Pro Tips
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The Discriminant
The value inside the square root (b² - 4ac) is called the discriminant. It tells you the nature of the roots: if it's positive, there are two real roots; if it's zero, there is one real root; if it's negative, there are two complex roots.
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Standard Form
Make sure your equation is in the standard form ax² + bx + c = 0 before you identify the coefficients a, b, and c.
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Coefficient 'a'
The coefficient 'a' cannot be zero. If a=0, the equation is linear, not quadratic.
FAQs
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