+0  
 
0
1
1
avatar+44 

Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___

 Jun 13, 2024

Best Answer 

 #1
avatar+889 
+1

First, we need to combine all like terms to see what we area dealing with. We have

\(x^{2}+18x+3\)

 

Now, completing the square for x by adding and subtracting 81, we get 

\((x+9)^2-78\)

 

Thus, we can easily fill in the blanks now. 

 

The first blank is 1

The second blank is 9

The third blank is -78. 

 

Thanks! :)

 Jun 13, 2024
 #1
avatar+889 
+1
Best Answer

First, we need to combine all like terms to see what we area dealing with. We have

\(x^{2}+18x+3\)

 

Now, completing the square for x by adding and subtracting 81, we get 

\((x+9)^2-78\)

 

Thus, we can easily fill in the blanks now. 

 

The first blank is 1

The second blank is 9

The third blank is -78. 

 

Thanks! :)

NotThatSmart Jun 13, 2024

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