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

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

ChiIIBill Jul 10, 2024

#1**+1 **

First let's combine all like terms and simplify. We have'

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

Now, we complete the square for x. Since it is 18x, we add and subtract 81 from the equation. We have

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

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

Thanks! :)

NotThatSmart Jul 10, 2024