Algebra

posted by .

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 -

y = x + 8
x*y = 273

x*(x+8) = 273
x^2 + 8x - 273 = 0

(x-13)(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 -

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

Similar Questions

1. Algebra

Please help!!! I have a worksheet of problems to do for homework, most of which I don't understand. My teacher hasn't really been answering my questions well. We are supposed to write equations, but if you have another way, that is …
2. Algebra I

I can understand this if the steps are shown to me. Please help me explain it to my daughter! One number is 8 more than another number. Their product is 273. I got this far. X(X + 8) = 273 X^2 + 8X = 273
3. Math

one postive number is 9 more than twice a number if product is 893 find the numbers
4. 6th grade math

Can you check these problems, please? Translate each phrase into algebraic expression. 1. 5 more than D Ans: 5 + D 2. Twice a number W Ans: 2*W 3. Product of 60 and W Ans: 60*W 4. A number, N, decreased by 18 Ans: N - 18 5. 14 minus
5. algebra

Twice the first number is eleven more than the sum of the other two numbers. The sum of twice the first number and three times the third number is one more than the second number. The second number is equal to the sum of the first …
6. word problems

the sum of two numbers is 38. when 8 is added to twice one of the number, the result is 5 times the other number. find the number
7. Math

One number is 10 less than twice a second number. Find a pair of such numbers so that their product is as small as possible. These two numbers are_ and _. (Use a comma to separate your numbers.) The smallest possible product is_. The …
8. Algebra

Find 3 consecutive odd numbers such that the sum of 5 times the smaller number a twice the larger number is 33 more than six times the median number. Do not understand word problems. ..please help
9. Algebra

one positive number is 32 less than another number. if the reciprocal of the smaller number is added to five times the reciprocal of the larger number, the sum is 1/6. find the two numbers
10. Math

Write the equation and solve the following problems 1. Seven more then three times a number is 22. What is the number?

More Similar Questions