Ask questions and get helpful answers.

Find the two numbers that multiply to the product number and add to the sum number of the following:

a)Product 563033256; Sum 51895
b)Product -43481220; Sum 28429
c)Product 2545124358; Sum -105619

I tried xy = product and x+y = sum, but it didn't work out... Can someone please help me?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
4 answers
  1. x+y = sum --->

    y = sum - x

    product = xy = x(sum-x) ------>

    x^2 - sum x + product = 0

    x = sum/2 ± sqrt[(sum/2)^2 - product]

    There are two solutions because interchanging x and y in the solution will yield another solution. This means that you can take:

    x = sum/2 - sqrt[(sum/2)^2 - product]

    y = sum/2 + sqrt[(sum/2)^2 - product]

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. sorry, but I don't get it; how can I have two different solutiuons hen I'm only supposed to have one? Still, thanks.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. If you have a solution and you interchange x and y then the sum and the poduct are the same, so that's another solution. This means that when we solve for x we get two solutions, the other solution bwing the value for y.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  4. oh, okay, I get it now; thanks!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. Algebra

    1. Which is an example of an algebraic expression? A. 4(3 +8) B. 18^2 C. 3 - a D. 21 . 4 *** 2. Which is an algebraic expression for 5 more than z? A. 5z B. z + 5 C. 5z + 5 *** D. 5 - z 3. Which word phrase can be used to represent the algebraic expression

  2. URGENTlast question for Math

    Which word phrase can be used to represent the algebraic expression 4(21+n)? 4 plus the sum of 21 and a number n 4 times the product of 21 and a number n*** 4 times the sum of 21 and a number n 4 less than the sum of 21 and a number n Am I correct Steve or

  3. maths

    the sum of N positive integers is 19. what is the maximum possible product of these N numbers? thx. Nice problem. Let's look at some cases 1. N=2 clearly our only logical choices are 9,10 for a product of 90 It should be obvious that the numbers should be

  4. maths

    I add 12 to a number and then double their sum.the result is one and the half times what I get when I double the original number and add 12.find the number

  5. calculus

    Find two positive numbers that satisfy the given requirements: The product is 147 and the sum of the first number plus three times the second number is minimum

  6. calculus

    find two positive integers such that the sum of the first number and 4 times the second number is 1000 and the product of the numbers is as large as possible

  7. Math

    Choose a number. Multiply by 2. Add 6 to the product. Divide by 2. Then subtract 3. What is the answer? Repeat this process using two different numbers.

  8. Math

    1. Write the place name for the 4 in the following number: 3,624,786 Answer: Thousand 2. Round the following number to the nearest ten: 53 Answer: 5 3. Find the sum of the following problem: 2,168 + 305 Answer: 2473 4. Estimate the sum of the following

  9. Math

    a teacher asked her students to think of a number, multiply by 5, and subtract the product from 20 , then she asked them to multiply the resulting difference by the number they first thougt of a) use function notation to express the final answer in terms

  10. math

    a teacher asked her students to think of a number, multiply by 5, and subtract the product from 20 , then she asked them to multiply the resulting difference by the number they first thougt of a) use function notation to express the final answer in terms

Still need help?

You can ask a new question or browse existing questions.