Quadratic Equation Calculator FAQ
How do I solve a quadratic equation?
Enter the values of a, b, and c into the calculator. It applies the quadratic formula x = (-b ± sqrt(b^2 - 4ac)) / (2a) to find both roots instantly.
How many solutions does a quadratic equation have?
A quadratic equation can have two real solutions, one repeated solution, or complex solutions. This depends on the value of the discriminant D = b^2 - 4ac.
What is the discriminant and why is it important?
The discriminant D = b^2 - 4ac determines the type of solutions. If D > 0, there are two real roots. If D = 0, there is one repeated root. If D < 0, the solutions are complex.
Why does my quadratic equation have no real solution?
If the discriminant D = b^2 - 4ac is negative, the square root cannot be calculated as a real number. In this case, the equation has complex (imaginary) solutions instead of real roots.
What are the roots of a quadratic equation?
The roots are the values of x that make the equation equal to zero. They are also called solutions or x-intercepts and can be found using the quadratic formula.
Can this calculator show the graph of the equation?
Yes. The calculator plots the parabola for ax^2 + bx + c, so you can see the shape of the graph and where it crosses the x-axis when real roots exist.
What happens if a = 0?
If a = 0, the equation is no longer quadratic. It becomes a linear equation of the form bx + c = 0, which has only one solution.
