The number that needs to be added to both sides of the equation x^2+4x=77 to complete the square is 4
The equation is given as:
x^2 + 4x = 77
Write out the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)^2 = 4
Hence, the number that needs to be added to both sides of the equation x^2+4x=77 to complete the square is 4
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