Fill in the blanks with numbers to make a true equation.

3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___

BRAlNBOLT Jun 27, 2024

#1**+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! :)

NotThatSmart Jun 28, 2024