What is meant by range in math?
A range is a set of ordered pairs of numbers which describe a set of values. The lowest value is called the lower bound. The highest value is called the upper bound. In addition, the length of the range is the difference between the highest value and the lowest value.
What is the range of a quadratic equation?
The range of a quadratic equation is the distance between the two roots of the equation. If there are two roots, the range will always be positive. If there are no roots, the range is undefined. If there is one root, the range will be the absolute value of the other solution.
What is the range of solutions for a quad
There is a range of solutions for a quadratic equation. If the discriminant is positive, the solutions are all real numbers. If the discriminant is negative, the solutions are all imaginary numbers. If the discriminant is zero, the solutions are called degenerate and there are an infinite number of solutions. If the coefficients of the quadratic equation are integers, the solutions will all be integers.
What is the range of solutions for a quadratic equation with real coefficients?
Every real number can be represented as the solution of a quadratic equation with real coefficients. If this is not the case, the quadratic equation is said to have complex coefficients and has an infinite range of solutions. For example, the quadratic equation x2+1 has no solutions. This is because every number raised to the power of 2 is either positive, negative, or zero (0). The complex roots of this equation are i (the square root of
What is the range of solutions for a quadratic equation?
A two-variable quadratic equation always has two solutions. However, many of these solutions are impossible—that is, they don’t satisfy the equation’s other conditions. One example of a quadratic equation with an impossible solution is the equation x2 - 3 = 0. This equation has two solutions: the impossible solution is x = -3, and the other solution is