SOLUTION: How do you show all workings rather than substitution to calculate x where the hypotenuse is x+8 and the other sides are x and x+7 ?

Algebra ->  Pythagorean-theorem -> SOLUTION: How do you show all workings rather than substitution to calculate x where the hypotenuse is x+8 and the other sides are x and x+7 ?      Log On


   



Question 1045071: How do you show all workings rather than substitution to
calculate x where the hypotenuse is x+8 and the other sides
are x and x+7 ?

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


    

    

Use FOIL:

    


    

    

  

Get 0 on the left by subtracting the whole left 
side from the right side:

0%22%22=%22%22x%5E2-2x-15

Factor the right side

0%22%22=%22%22%28x-5%29%28x%2B3%29

Use the zero-factor property:

x-5 = 0;   x+3=0
  x = 5;     x=-3

x is one of the sides, so it can't be negative,
so we discard the -3 and the answer is

x = 5

Edwin