Solve the quadratic equation below by completing the square.4n2-16n-21=44
Solve for n over the real numbers:
4 n^2-16 n-21 = 44
Divide both sides by 4:
n^2-4 n-21/4 = 11
Add 21/4 to both sides:
n^2-4 n = 65/4
Add 4 to both sides:
n^2-4 n+4 = 81/4
Write the left hand side as a square:
(n-2)^2 = 81/4
Take the square root of both sides:
n-2 = 9/2 or n-2 = -9/2
Add 2 to both sides:
n = 13/2 or n-2 = -9/2
Add 2 to both sides:
Answer: | n = 13/2 or n = -5/2
