數學文字題....polynomials....急!!!!!

Let those two numbers are a and b

a + 1 = b --- ( 1 )

ab = 240 --- ( 2 )

Sub ( 1 ) into ( 2 )

a ( a + 1 ) = 240

a^2 + a = 240

a^2 + a - 240 = 0

( a + 16 ) ( a - 15 ) = 0

a = - 16 or 15

so , b = -15 or 16

而加要搵佢地ge總和. --> answer : 16 + 15 = 31 or -16 + -15 = -31

2.甲 ge 歲數大過乙6歲,如果甲ge歲數自乘,比乙ge歲數兩倍大60.問佢地原來ge歲數

Let 甲 = a , 乙 = b

b + 6 = a - ( 1 )

a^2 = 2b + 60 - ( 2 )

Sub ( 1 ) into ( 2 )

( b + 6 )^2 = 2b + 60

b^2 + 12b + 36 = 2b + 60

b^2 + 10b - 24 = 0

( b + 12 ) ( b - 2 ) = 0

b = - 12 or 2

b = 2 so a = 8


2010-08-25 19:06:22 補充：
001 is wrong , No.1 the answer can be - 31

Q1: The integers are positive or real?

1)
設較小整數為 x,
(x)(x+1)=240
x^2+x-240=0
(x+16)(x-15)=0
x=15 or x=-16(reject)

兩個整數分別為15及16
15+16=31

2)
設甲的歲數為x,乙的歲數為y
x=y+6 .. (1)
x^2-60=2y ..(2)

put (1) into (2),
(y+6)^2-60=2y
y^2+10y-24=0
(y+12)(y-2)=0
y=2 or y=-12(reject)

解 : 甲為8歲,乙為2歲