Quadratic Equations
A quadratic equation is a polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants, and a is not zero. The solutions to these equations can be found using various methods, including factoring, using the quadratic formula, or completing the square. Understanding the standard form of a quadratic equation is essential for applying these methods effectively.
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Introduction to Quadratic Equations
Perfect Square Trinomial
A perfect square trinomial is an expression that can be factored into the square of a binomial, typically in the form (x + p)^2 = x^2 + 2px + p^2. Recognizing and creating perfect square trinomials is crucial when completing the square, as it allows for easier manipulation of the equation to isolate the variable and solve for its value.
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Solving Quadratic Equations by Completing the Square