+0  
 
0
11
1
avatar+1459 

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

 Jun 22, 2024
 #1
avatar+1926 
+1

Let's combine all like terms first. We have

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

 

We can't factor this equation yet, so let's complete the square. We get

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

 

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

 

Thanks! :)

 Jun 22, 2024

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