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Help please

 Oct 21, 2019
 #1
avatar+104911 
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We have that

 

(4 - x)^2  +  (-3 - 7)^2  =  (6√5)^2        simplify

 

x^2  - 8x  + 16   +  (-10)^2  =  36*5

 

x^2  - 8x  + 116  =  180     subtract 180  from both sides

 

x^2  -  8x   - 64   =  0         

 

Using the quadratic formula

a = 1      b  = -8      c  = -64

 

8  ±√ [ (-8)^2  - 4(1)(-64) ]

_____________________

           2(1)

 

 

8   ±√ [ 64 + 256]

______________

            2

 

8  ±√ [ 64  ( 1 + 4 ) ]

_________________

             2

 

8  ±   8√5

________

       2

 

4 ± 4√5

 

The two possible values of x are

 

4 + 4√5     and      4   - 4√5

 

 

cool cool cool

 Oct 21, 2019

11 Online Users

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