Algebra also has countless applications in the real world. Knowledge of algebra is essential for higher math levels like trigonometry and calculus.Quadratics are used to model many physical situations, such as gravity.Completing the square is used to prove the quadratic formula.This shows the whole quadratic function, not just the doubled up solution. If you were trying to factor it as an equation, then you are correct in that f(x) 6(x-10)(x-10) or f(x) 6 (x-10)2. Completing the square in an expression, such as this exercise, allows a general quadratic to be written in vertex form which is a form that reduces the work needed to find the vertex of a quadratic. Since you are finding solutions, not the equation, the 6 does not have any meaning because as Sal did in the beginning, 0/6 0.The answers on this version of the exercise can be fractions, especially in the "squared" form before applying the Square Root Property.If the linear coefficient is b and the constant term is c.To complete the square, the desired number would be the coefficient of the linear term, divided by two, and then squared. Knowledge of the process of completing the square would ensure accuracy and efficiency on this exercise. The user is asked to complete the square, write a particular equivalent form of the equation, and provide solution(s) to the equation.Ĭomplete the square and use it to solve the equation
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