Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___
Let's combine all like terms first. We have
x2+18x+3
We can't factor this equation yet, so let's complete the square. We get
x2+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! :)