Quadratic Equation Solver and Graphing
Given a, b, and c, this formula solves the equation ax^2 + bx + c,
returning the value or values of x.
The formula used is the quadratic formula: x = ( -b ± sqrt( (b ^ 2) -
4ac) ) / (2a), where a ≠ 0.
Quadratic Equation
A quadratic equation is a mathematical equation that has the form: “ax² + bx + c = 0”. The general formula for solving any quadratic equation, and thus finding the roots and the vertex, is the quadratic formula: “x = [−b ± √(b² - 4ac)]/(2a)”.
A quadratic equation is a polynomial that has a degree of 2. It can be solved using the quadratic formula; x = [−b ± √(b² - 4ac)]/(2a). Having a degree of 2, quadratic equations are solvable algebraically, unlike linear equations which have a degree of 1 and require only simple arithmetic to solve.
The quadratic equation has many important uses in mathematics, physics, and engineering. One of its most important uses is solving systems of linear equations with least-squares error for known values of the data.
Quadratic equations can also be used to find points on spheres or ellipsoids that are not already known.
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