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PostHeaderIcon How To Solve Quadratic Equation By Completing The Square

Recall that if we have a quadratic equation of the type (where ) then the solutions are .

Now for the general quadratic equation we can transform this equation by completing the square into equation of the form . If we think of x+p as one single variable , then we have and this equation is similar to the previous one which we know how to solve it.

The videos below will give you some examples how to do this sort of transformation practically and solve the quadratic equation.


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PostHeaderIcon How To Solve Quadratic Equations By Factoring

Any quadratic equation can be written as and if factoring the left hand side is possible, we can write the equation as for some and . We can view the last equation as having two numbers that multiply to zero. The only one to have that is if at least one of them is zero (if both of them are not zero then the product is not zero). Thus or . From these we can easily solve for .

 These videos will explain to you using a concrete example how to do all of these. If you need to practice your factoring skill, check out this videos first.

 


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PostHeaderIcon How To Write Parabola in The Vertex Form

Any parabola can be written in the vertex form as . The coordinate is called the vertex of the parabola. One can find the vertex by using the formula and or one can complete the square to find the values of and .

 The videos below will explain how to use both methods to find the vertex or to rewrite the parabola in the vertex form.

 

 


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