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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. So what I want to talk about now is an overview of all the different ways of solving a quadratic equation.
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.
-6/2 = -3 = (-3)2 = 9 = x2 — 6x + 9 = 9/2 + 9.
The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
The roots of any quadratic equation is given by: x = [-b +/- sort(-b^2 — 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c = 0. If the equation is in the form y = ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y-axis is equal to 0.
There are three main ways to solve quadratic equations: 1) to factor the quadratic equation if you can do so, 2) to use the quadratic formula, or 3) to complete the square.
Suggested clip Using the Discriminant for Quadratic Equations — YouTubeYouTubeStart of suggested client of suggested clip Using the Discriminant for Quadratic Equations — YouTube
0:14 1:57 Suggested clip Finding Solutions of quadratic functions from a graph.mov — YouTubeYouTubeStart of suggested client of suggested clip Finding Solutions of quadratic functions from a graph.mov — YouTube
The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax2+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-bad(b²-4ac))/(2a).
It determines how many solutions there are to the quadratic equation. If the discriminant is positive, there are 2 roots. If it is zero, there is 1 root. If the discriminant is negative, there are 0 roots.
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