Fill in the blanks with numbers to make a true equation.
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___
First let's combine all like terms and simplify. We have'
x2+18x+3
Now, we complete the square for x. Since it is 18x, we add and subtract 81 from the equation. We have
Thus, the first blank is 1, the second blank is 9, and the third blank is -78.
Thanks! :)