Posted by Kelly on Thursday, April 30, 2009 at 5:27pm.
Don't understand quadratic word problems at all. Please help, with steps.
One number is 8 more than another number. Their product is 273. find the numbers.
The differance between a number and twice it's reciprocal is 17/10. What is the number?
Thanks,
Kelly

Algebra  Clark, Thursday, April 30, 2009 at 6:35pm
y = x + 8
x*y = 273
x*(x+8) = 273
x^2 + 8x  273 = 0
(x13)(x+21) = 0
One of those factors must evaluate to 0 for the answer to be 0. Therefore, x must equal either 13 or 21.
y must equal either 21 or 13.
So: x=13 and y=21
or x=21 and y=13
I'm sure you can figure out the second one.

Algebra  Quidditch, Thursday, April 30, 2009 at 6:37pm
For the first problem:
Let x = lesser number
let y = greater number
(x) (y) = 273
The problem states that y = x + 8.
substituting for y:
(x) (x+8)=273
x^2 + 8x=273
so
x^2 + 8x  273 = 0
Solve for x.
Then, y = x + 8
Answer This Question
Related Questions
 Algebra I  I can understand this if the steps are shown to me. Please help me ...
 Algebra  Find 3 consecutive odd numbers such that the sum of 5 times the ...
 word problems  the sum of two numbers is 38. when 8 is added to twice one of ...
 Algebra  Please help!!! I have a worksheet of problems to do for homework, most...
 Math  One number is 10 less than twice a second number. Find a pair of such ...
 6th grade math  Can you check these problems, please? Translate each phrase ...
 Math  one postive number is 9 more than twice a number if product is 893 find ...
 algebra  Twice the first number is eleven more than the sum of the other two ...
 algebra  Five times the smallest of three consecutive odd integers is ten more ...
 Math algebra  One number is 10 more than the other number. Twice the smaller ...
More Related Questions