Asked by Chin Po

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.. =)
Answered by Chin Po
May someone help me?
Answered by Damon
(.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
Answered by Chin Po
thank you!!
Answered by Damon
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
Answered by Chin Po
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 #?
Answered by Damon
n and n+2
n^2 + (n+2)^2 = 452
yes
Answered by Chin Po
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?
Answered by Damon
n^2 + n^2 + 4 n + 4 = 452
2n^2 + 4 n - 448 = 0
(2n-28)(n+16) = 0
n = 14
n+2 = 16

Answered by Damon
no, it said consecutive positive integers, difference is one
Answered by Damon
I would use
n-1
n
n+1
Answered by Damon
(n-1)^2 + n^2 + (n+1)^2 = 194
n^2 -2 n + 4 + n^2 + n^2 + 2 n + 4 = 194
Answered by Damon
whoops
n^2 - 2n + 1 + n^2 +n^2 + 2 n + 1 = 194
3n^2 = 192
n^2 = 64
n = 8
so
7 , 8, 9
Answered by Damon
that means that
7, 8, 9 is a right triangle by the way
Answered by Damon
Oh no it does not! the sum of the squares of two of them must equal squre of third to be a right triangle.
Answered by Chin Po
thank you so much! i appreciate the help
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