Ask Question
7 March, 19:00

The difference of two numbers is 7. If the sum of the smaller number and the square of the larger number is 125, what is the value of the larger number?

+1
Answers (1)
  1. 7 March, 19:24
    0
    larger = 11

    Step-by-step explanation:

    We will consider x = bigger, y = smaller

    This means x - y = 7 (The difference of two numbers is 7)

    This also means that x = 7 + y

    And

    y + x^2 = 125 (The sum of the smaller number and the square of the larger number is 125)

    If we sustitute x = 7 + y in the second equation we get

    y + (7+y) ^2 = 125

    We can do the square of the binomial and get

    y + 49 + 14y + y^2 = 125 (We substract 125 on both sides of the equation)

    y + 49 + 14y + y^2 - 125 = 125 - 125

    We get

    y^2 + 15y - 76 = 0

    We can make a factorization

    (y+19) (y-4) = 0

    y+19 = 0 y-4 = 0

    y = - 19 y=4

    This means y=4 is the smaller number and x = 7 + y = 7 + 4 = 11

    So x = 11 is the bigger number
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The difference of two numbers is 7. If the sum of the smaller number and the square of the larger number is 125, what is the value of the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers