Math, grade 10

Two numbers add to 18. If you square the larger number and add 6 times the smaller number you get 163. What are the numbers. Solve with quadratic equation?

  1. 👍 0
  2. 👎 0
  3. 👁 40
asked by Lorrie
  1. x+y = 18
    x^2 + 6y = 163
    now substitute for y:
    x^2 + 6(18-x) = 163
    x^2 - 6x + 108 = 163
    x^2 - 6x - 55 = 0
    (x-11)(x+5) = 0
    x=11 and y=7

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Suppose you have two numbers. The difference of the two numbers is 12. The product of the two numbers is 17. Multiply the larger of the two numbers by 100, add 50 times the smaller number to that, round the total to the nearest

    asked by Lesa on March 24, 2007
  2. Algebra

    Find two consecutive odd numbers that add to 208, when the smaller number is added to five times the larger number.

    asked by Vilma on June 19, 2012
  3. Math

    i^6 = (i^2)^3 = (-1)^3 = -1 The square, not the square root of -1 is 1. :) B.t.w., can you prove that -1 times -1 is 1? Hint, try to prove first that for any number X: -1 times X equals -X How do you find the square root of -1?

    asked by Count Iblis on November 15, 2006
  4. Math

    Can someone please help me write this statement out in formula form. There should be two formulas. Question.... Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the

    asked by Jessica on October 22, 2006
  5. algebra,math,help

    can someone explain to me the following:thanks... one number is 2 times another. If the sum of their reciprocals is (1)/(4). Find the two numbers. We can begin by looking at the following. Let's use the letters "a" and "c.": "One

    asked by jasort20 on March 14, 2007
  6. Algebra

    Thank you...I forgot to add the other part of the question.. The sum of two number equal 25 The second number is 4 times larger than the first number. Write the two equations AND what are the two numbers. I have x+4x =25 but not

    asked by Leroy on December 4, 2016
  7. math

    Take any two real numbers whose sum is 1(fractions, decimals, integers, etc. are appropriate. Square the larger and add the smaller. Then square the smaller and the larger. What will be true?

    asked by gt on November 4, 2009
  8. math

    how do you add and subtract + and - numbers? Is there a rule? Yes. The adding rule is this: If the signs are the same, add the numbers directly, then use the sign of the numbers. If the signs are different, Subtract the smaller

    asked by robin on September 15, 2006
  9. math

    sabrina used a calcutator and started adding the whole numbers in order 1+2+3+4+5+..... what is the last number she would add that would get the sum on her calculator over 1000? Try it yourself. You'll be surprised that it won't

    asked by ciera on January 23, 2007
  10. Algebra

    Hello all! I had a quick homework question: I have to prove that the output of this always ends up as 1, regardless of the starting number: *Think of a number between 1 and 10. Add 1; double the result; add 3; subtract 4; add 5;

    asked by y912f on June 21, 2014

More Similar Questions