The number that would have to be added to complete the square is 81/4.
Quadratic equations are polynomials of degree 2 , It is represwented by ax² + bx +c = 0.
The quadratic equation given is
x² -9x +2 = 0
x² -9x + (81/ 4) - (81/4) + 2 = 0
x² -9x + (9/2)² - (81/4) +2 = 0
(x - 9/2)² - (73/4) = 0
Therefore , 81/4 will be added to complete the square to solve the quadratic equation.
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