Question

Solve the quadratic equation below by completing the square

4n^2-16n-21=44
The solutions to the equation, in order from least to greatest, are n=____ and n=_____

Answer 1

n = -5/2 and n = 13/2

Answer 2

Explanation:

4·n^2 - 16·n - 21 = 44

4·n^2 - 16·n = 65

n^2 - 4·n = 65/4

n^2 - 4·n + 4 = 65/4 + 4

(n - 2)^2 = 81/4

n - 2 = ± 9/2

n = 2 ± 4.5

n1 = -2.5 or n2 = 6.5