The Quadratic Formula Its Origin And Application Intomath Worked example. first we need to identify the values for a, b, and c (the coefficients). first step, make sure the equation is in the format from above, a x 2 b x c = 0 : is what makes it a quadratic). then we plug a , b , and c into the formula: solving this looks like: therefore x = 3 or x = − 7 . 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: ( b±√ (b² 4ac)) (2a) . see examples of using the formula to solve a variety of equations. created by sal khan.
How To Solve Quadratic Equations Using The Quadratic Formula Youtube Example of the quadratic formula to solve an equation. use the formula to solve thequadratic equation: y = x2 2x 1 y = x 2 2 x 1 . just substitute a,b, and c into the general formula: a = 1 b = 2 c = 1 a = 1 b = 2 c = 1. below is a picture representing the graph of y = x² 2x 1 and its solution. You can use the quadratic formula any time you're trying to solve a quadratic equation — as long as that equation is in the form "(a quadratic expression) that is set equal to zero". often, the simplest way to solve " ax 2 bx c = 0 " for the value of x is to factor the quadratic , set each factor equal to zero, and then solve each factor. Example 3: use the quadratic formula to solve the quadratic equation [latex]4{x^2} – x 9 = 3x 8[ latex]. since either side of the equation is not zero, it means that the equation is not written in standard form. let’s move everything to the left side by making the right side equal to zero. subtract both sides by [latex]8[ latex]. Factoring is often the quickest method and so we try it first. if the equation is \(ax^{2}=k\) or \(a(x−h)^{2}=k\) we use the square root property. for any other equation, it is probably best to use the quadratic formula. remember, you can solve any quadratic equation by using the quadratic formula, but that is not always the easiest method.
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