Solving Quadratic Equations

July 14th, 2010

Quadratic equations are not difficult to solve if you follow a process. Always use the same logic to solve quadratic equations. The method of solving quadratic equations below will show you how to solve quadratic equations every time. Whenever you are faced with solving quadratic equations, you can use the following method of solving quadratic equations.

Quadratic equation and simultaneous equations you have to solve

Suppose you are trying to solve the following quadratic equation simultaneous equations:

y = 2x ²+ 6x – 6

y + 12 = 14x

Solution to the simultaneous equations involving quadratic equation

Step 1: Rearrange the simultaneous equations

The first thing to do in solving simultaneous equations involving quadratic equations is to re-organize the equations so that we can compare apples to apples. In another word, re arrange the simultaneous equations so that y is on the left hand side for both equations on its own as shown below.

The first equation is y = 2x ² + 6x – 6. Since y is already on the right hand side on its own, there is nothing to be done for the first equation at this stage.

The second equation is y + 12 = 14x. y is not on the right hand side alone, so re-arranging is required as follows: y = 14x -12 (taking 12 away from the right hand side and also on the left hand side).

Now we have two simultaneous equations involving quadratic equation as follows:

y = 2x ²+ 6x – 6

y = 14x � 12

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