Anumber is four times larger then the square of half the number

N is 4 more than square of half of n



times both sides by 4
4n=16+n²
minus 4n both sides
0=n²-4n+16
gots to use quadratic formula
for an²+bn+c=0
n=
1n²-4n+16=0

n=
n=
n=
uh oh, we got imaginary numbers
if we simplify we get n=2+2i√3 or n=2-2i√3

that can't be right

maybe it's

times both side sby 2
2n=8+n²
minus 2n

0=n²-2n+8
factor
0=(n-4)(n+2)
st to zero

n-4=0
n=4

n+2=0
n=-2

the number is -2 or 4

if it be then n=2+2i√3 or 2-2i√3
if it be then n=-2 or 4