Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___
Let's first combine all like terms and see what we get. We have
x2+18x+3
Now, we simply complete the square for x. Adding and subtracting 81, we get
x2+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! :)