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The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
There are three different ways to solve quadratic equations. The first includes factoring, though not every math problem can be factored. The second is to complete the square, and the third way to solve these problems is to use the quadratic formula.
0:00 6:44 Suggested clip How to Factor any Quadratic Equation Easily — Trick for factorizing YouTubeStart of suggested client of suggested clip How to Factor any Quadratic Equation Easily — Trick for factorizing
A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in “width” or “steepness”, but they all have the same basic “U” shape.
In other words, the quadratic formula is simply just ax^2+bx+c = 0 in terms of x. So the roots of ax^2+bx+c = 0 would just be the quadratic equation, which is: (-b+-b^2-4ac) / 2a. Hope this helped!
As well as being a formula that yields the zeros of any parabola, the quadratic formula can also be used to identify the axis of symmetry of the parabola, and the number of real zeros the quadratic equation contains.
Here are examples of quadratic equations in the standard form (ax2 + bx + c = 0): 6x² + 11x — 35 = 0. 2x² — 4x — 2 = 0. —4x² — 7x +12 = 0.
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