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how to determine if a quadratic equation has real solutions. 1 Use the quadratic formulas and the discriminant to find all solutions to the quadratic equations given below. The square root of a positive number is also some positive number.
Solving Quadratic Equations And Finding The Discriminant Quadratics Quadratic Equation Solving Quadratic Equations from tr.pinterest.com
We have also learned that it is possible to take the square root of a negative number by using imaginary numbers. No real root if the discriminant b 2 4 ac is a negative number. X 2 4x - 2 0.
If b2 4ac 0 b 2 4 a c 0 the equation has one solution.
Either two distinct real solutions one double real solution or two imaginary solutions. The general form of this is written as ax 2 bx c 0 where a b and c are all numbers and x is our unknown variable. Connect complex solutions with the graph of a quadratic function that does not cross the x-axis. So to find values for a b and c we can see that a equals 1 b equals negative 2 and c equals positive 2.
