The set of values that is greater than the quadratic function with zeros 5 and -13, then, y > 2(x+5)(x+13).
Quadratic Equation:
A quadratic equation is a second-order algebraic equation in x. The quadratic equation in standard form is ax² + bx + c = 0. where a and b are the coefficients, x is the variable, and c is the constant term.
The first condition of the quadratic equation is that the coefficients of x² are nonzero terms (a ≠ 0). To write a quadratic equation in standard form, first write the x2 term, then the x term, and finally the constant term. The numbers for a, b, and c are generally written as whole numbers, not as fractions or decimals.
The roots of the quadratic equation ax2 + bx + c = 0 are given by x = [-b ± √(b2 - 4ac)]/2a.
Properties:
Properties of the roots of a quadratic equation can be found without actually finding the roots (α, β) of the equation. This is made possible by taking the discriminant value, which is part of the equation that solves the quadratic equation. The value of b2-4ac is called the discriminant of the quadratic equation and is represented by "D".
Based on the discriminant values, you can predict the properties of the roots of quadratic equations.
D = b2 - 4ac
D > 0, roots real, different
D = 0, roots real, equal.
D < 0, root does not exist or root is imaginary.
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