+0  
 
-2
1
1
avatar+148 

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

 Jun 27, 2024
 #1
avatar+1075 
+1

Let's first combine all like terms and see what we get. We have

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

 

Now, we simply complete the square for x. Adding and subtracting 81, we get

\(x^2+18+81-81+3\\ (x+9)^2-78\)

 

Thus, the first blank is 1, the second blank is 9, and the third blank is -78. 

 

So that is our final answer. 

 

Thanks! :)

 Jun 28, 2024

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