Math Help Quadratic Equations
February 14th, 2006
Question: maths quadratic equations HELP?
1.the product of two consecutive interers is 342. find the integers.(using the quadratic equations method)
2.a rectangular playground has a perimeter of 60m and an area of 216cm square. find the dimensions of the playground.
3.in a two digit number, the tens digit is 5 lesser than the ones digit. the number is 14 greater than the product f the digits.find the number
thats all. easy 10 points.. please help im revising these for my tests…
Answer: Hi,
1.the product of two consecutive integers is 342. find the integers.(using the quadratic equations method)
x(x + 1) = 342
x² + x – 342 = 0
(x + 19)(x – 18) = 0
x + 19 = 0
x = -19
x + 1 = -18
x – 18 = 0
x = 18
x + 1 = 19
The numbers can be either -19 and -18, or 18 and 19. <==ANSWER
2.a rectangular playground has a perimeter of 60m and an area of 216cm square. find the dimensions of the playground.
2L + 2W = 60
L + W = 30
W = 30 - L
LW = 216
L(30 - L) = 216
30L - L² = 216
L² - 30L + 216 = 0
(L - 18)(L - 12) = 0
L - 18 = 0
L = 18
L - 12 = 0
L = 12
The playground was 18 m x 12 m. <==ANSWER
3.in a two digit number, the tens digit is 5 lesser than the ones digit. the number is 14 greater than the product f the digits.find the number
T = U - 5
10T + U - 14 = TU
10(U - 5) + U - 14 = (U - 5)U
10U - 50 + U - 14 = U² - 5U
11U - 64 = U² - 5U
U² - 16U + 64 = 0
(U - 8)(U - 
= 0
U - 8 = 0
U = 8
T = U - 5
T = 8 - 5 = 3
The number is 38. <==ANSWER
I hope that helps!! 
Math Refresher – YourTeacher.com – 1000+ Online Math Lessons
Related posts
Posted in Math Equations | 
Tags: algebra, education, math, math help quadratic equations, mathematics, quadratic