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Complete the square. h^2+14h+3=15

 Oct 14, 2014

Best Answer 

 #1
avatar+23254 
+5

h² + 14h + 3  =  5

The form that you must have:

-- the squared term must have a coefficient of 1

-- the left side must have the squared term and the linear term; the number must be on the right side.

 

First, move the 3 to the other side (by subtracting 3 from both sides):

h² + 14h        = 2

There are three steps in completeing the square:

--  divide the coefficient of the linear term by 2       14 ÷ 2  =  7

-- square that result                                                    7²  =  49

-- add this number to both sides.

h² + 14h + 49  =  2 + 49

(h + 7)(h + 7)  =  51                                        Factor:

       (h + 7)²  =  51                                          Find the square root:

         h + 7  =  ±√51                                        Removd the 7 from the left side:

               h  =  -7 ±√51

 Oct 14, 2014
 #1
avatar+23254 
+5
Best Answer

h² + 14h + 3  =  5

The form that you must have:

-- the squared term must have a coefficient of 1

-- the left side must have the squared term and the linear term; the number must be on the right side.

 

First, move the 3 to the other side (by subtracting 3 from both sides):

h² + 14h        = 2

There are three steps in completeing the square:

--  divide the coefficient of the linear term by 2       14 ÷ 2  =  7

-- square that result                                                    7²  =  49

-- add this number to both sides.

h² + 14h + 49  =  2 + 49

(h + 7)(h + 7)  =  51                                        Factor:

       (h + 7)²  =  51                                          Find the square root:

         h + 7  =  ±√51                                        Removd the 7 from the left side:

               h  =  -7 ±√51

geno3141 Oct 14, 2014

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