What Number Should Be Added To Both Sides Of The Equation To Complete The Square? X2 – 10X = 7. We have the equation x 2 − 10 x = 7. This transforms the equation into a perfect square trinomial on the left side.

The number that should be added to both sides is 25 and the solution is x = 5 + √32 or x = 5. To complete the square for the equation x2 − 6x = 5, you should add 9 to both sides. If you really want to stick with the original equation with only integer coefficients then add 1/3 to both sides but you can't factor the completed square into integer factors