Nature of Roots Roots are the values of a quadratic equation that make it equal to zero. A quadratic equation in the form of $$ax^2 + bx + c = 0$$ is said t...
Nature of Roots
Roots are the values of a quadratic equation that make it equal to zero. A quadratic equation in the form of is said to be quadratic if the value of a is not equal to zero.
The roots of a quadratic equation are the two distinct real numbers that can be found by solving the quadratic equation. The roots can be determined using various methods, including factoring, completing the square, and using the quadratic formula.
It's important to note that the roots of a quadratic equation can be real or complex. Real roots are the roots that are found in the real number line, while complex roots are the roots that are found in the complex plane.
The nature of the roots of a quadratic equation can be determined by looking at the value of a. If a > 0, then the roots will be real and distinct. If a = 0, then the roots will be real and equal. If a < 0, then the roots will be complex conjugates