Math

 

Fill in the blanks with numbers to make a true equation.     
3x^2 + 12x - 4 - 2x^2 + 6x + 7 = ___ (x + ___ )^2 + ___      

 

                                 3x² + 12x – 4 – 2x² + 6x + 7     

simplify to                   x² + 18x + 3     

 

make that fit into        ___ (x + ___ )²  +  ___      

 

how about using a 9 to get that 18x     

and we don't need a coefficient of x²        (x + 9)²  =  x² + 18x + 81     

 

but the constant is now 78 too much     

not a problem . . . just subtract it                x² + 18x + 81 – 78   =   x² + 18x +3     

 

that's what we wanted, so here's what     

goes into the blanks in the original              1  (x +   9   )²  +  (  – 78  )      

_.