When working with real numbers quadratic equations can have. We have seen two outcomes for solutions to quadratic equations either there was one or two real number solutions. A system of a linear equation and a quadratic equation can have one real solution two real solutions or no real solutions.
As we have seen there can be 0 1 or 2 solutions to a quadratic equation depending on whether the expression inside the square root sign b2 - 4ac is positive negative or zero.
This online calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax 2 bx c 0 for x where a 0 using the quadratic formula. We have also learned that it is possible to take the square root of a negative number by using imaginary numbers. We have seen two outcomes for solutions to quadratic equations either there was one or two real number solutions. If the expression under the square root is negative then the quadratic equation will have zero real solutions.