![]() ![]() Therefore, it is proved that the roots are distinct and complex roots if the discriminant of quadratic equation is less than zero. This is generally true when the roots, or answers, are not rational numbers. The roots or zeros of the quadratic equation in terms of discriminant are written in the following two forms. Many quadratic equations cannot be solved by factoring. See examples of using the formula to solve a variety of equations. The quadratic equation must be in the form. ![]() Then, we plug these coefficients in the formula: (-b± (b²-4ac))/ (2a). The quadratic formula is used to find the roots of a quadratic equation. It is written in the form: ax2 bx c 0 where x is the variable, and a, b, and c are constants, a 0. First, we bring the equation to the form ax² bx c0, where a, b, and c are coefficients. In math, a quadratic equation is a second-order polynomial equation in a single variable. When a quadratic equation is expressed as $ax^2 bx c = 0$ in algebraic form, the discriminant ($\Delta$ or $D$) of the quadratic equation is written as $b^2-4ac$. The quadratic formula helps us solve any quadratic equation. These correspond to the points where the graph crosses the x-axis. The roots of a quadratic equation are imaginary and distinct if the discriminant of a quadratic equation is negative. The roots of a function are the points on which the value of the function is equal to zero.
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