Bad Quadratic Equations Turn Good !
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Welcome!

Today we are going to solve a Quadratic Equation

Here's the Equation:

X^2+5x=14 Looks complicated right! Well, Lets take it step by step....

  1. First we add or subtract terms which will enable us to  set the equation to zero. Inorder for that to happen we need everything on the same side...for instances     

          x^2+5x=14

                  -14   -14 /  x^2+5x-14=0     since you subtract 14 from one side you have to do  it to the other side.

14 minus negative fourteen sets the right side of the equation to zero..... So we should end up with x^2+5x-14=0

2. We need to factor our remaining problem .We do this with the foil method. First, we look at the sign in front of the 14, it's negative, so when we foil, the signs in the ( )'s will be negative and positive. This way when  we mulitiply the ( )"s together we will get a negative 14. This is what it will look like

(x-   ) (x+  )

3.  Next we will want to factor two numbers which when multiplied together  will equal 14 and if subtracted will give me 5. So, let's make a list 1&14 or 2 &7. Let's try 2 &7

(x-2) (x+7) we'll foil to see if we get our original equation...

xtimes x = X^2,  x times 7 is 7x x time -2 is -2x and -2 times 7 is -14   combined like terms.. which are 7x-2x which gives you 5x so we should end up with

x^2 + 5x-14 which is our original equation. We are not done yet :0(   We still have to find  the answer for x which we will do this way....

x-2=0 add 2 to each side which will equal to x=2

next since we have two answers (which you know that from your exponent of your first term) we have to do the same with our 7except we subtract since we have a positive 7 which will give us x=-7

So our complete answer is x=2 x=-7

Wella :0)  Keep having fun

 

 

 

Hi! I'm Laura. M  a   struggling student at Reading Area Communtiy college. We were assign a class project and this was birth from that request. enjoy :0)

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The pictures above and below are examples of fractal Geometry which was develop in 1980 by B. Mandelbrot

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This website is dedicated to  the exploration of math and all those gifted people who  pass the torch to the next generation

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Please get in touch with any comments or reactions to my site mailto:CelticGypsy67@netscape.net