The width of a basketball court is 1 m more than half the length. If The area of the court is 364m^2, find the length and width.

how would you solve this problem?
please help me.. =)

May someone help me?

(.5L+1)(L) = 364

.5 L^2 + L - 364 = 0
L^2 + 2 L - 728 = 0
(L-26)(L+28) = 0
L = 26
w = 13+1 = 14

thank you!!

To figure out the 26 and 28, I knew the factors must differ by 2 and multiply to 728 so I took the sqrt of 728 which is 26.98 or about 27. then one above is 28 and one below is 26

how would you solve this one?

the sum of the squares of two consecutive even integers is 452. Find the integers.

i think i know that..
x=1st # and
x+2= 2nd #?

n and n+2

n^2 + (n+2)^2 = 452
yes

thnx

and if it says the sum of the squares of three consecutive positive integers is 194. Find the integers.

is it x=1st
x+3= 2nd
x+5= 3rd?
and would adding all these give me a result of 194?

n^2 + n^2 + 4 n + 4 = 452

2n^2 + 4 n - 448 = 0
(2n-28)(n+16) = 0
n = 14
n+2 = 16

no, it said consecutive positive integers, difference is one

I would use

n-1
n
n+1