What Can You Say About The Roots Of Each Quadratic Equation. This is the expression under the square root in the quadratic formula. This formulas give both roots.

This quadratic equation root calculator lets you find the roots or zeroes of a quadratic equation. A quadratic equation of the form ax 2 bx c 0 x E C where a b and c are real constants can have two real roots one repeated real root or two complex roots If the roots of this equation are α and β you can determine the relationship between the coefficients of the terms in the quadratic equation and the values of α and β. -b sqrtb2 -4ac2a and -b - sqrtb2 -4ac2a.
The equation has two solutions which may be identical or different.
If the discriminant of a quadratic function is less than zero that function has no real roots and the parabola it represents does not intersect the x-axisSince the quadratic formula requires taking the square root of the discriminant a negative discriminant creates a problem because the square root of a negative number is not. Where the plus-minus symbol indicates that the quadratic equation has two solutions. A quadratic is a second degree polynomial of the form. It is imaginary because the term under the square root is negative.