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The determinant.
The determinant is the part under the square root of the quadratic equation and is:
b2-4ac where your quadratic is of the form: ax2+bx+c
If the determinant is less than zero then you have 'no real solutions' (as the square root of a negative number is imaginary.)
If the determinant is = 0, then you have one real solution (because you can discount the square root of the quadratic equation)
If the determinant is greater than zero you have two real solutions as you have (-b PLUS OR MINUS the square root of the determinant) all over 2a
To find the solutions where they exist you'll need to solve the quadratic formula or use another method.
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The discriminant determines how many what a quadratic equation will have whether they are real or imaginary?
roots
What are quadratic equations with real roots?
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
How do you solve a quadratic equation graphically?
The roots of the quadratic equation are the x-intercepts of the curve.
How do you formulate quadratic equation that can be solve by extracting square roots?
By using the quadratic equation formula
What is the solving for the roots of quadratic equation?
It is finding the values of the variable that make the quadratic equation true.
