If using the method of completing the square to solve the quadratic equation x^2 -4x +10 =0, which number would have to be added to complete the square?

4 would have to be added to complete the square.

Step-by-step explanation:

We are given the following quadratic equation the question:

We have to form a whole square to solve the quadratic equation.

We add and subtract the square of the coefficient of x.

Thus, we added and subtracted 4 in the quadratic equation to make it a complete square.

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.