Product - quadratic equation

The product of the two numbers is 900. If we increase the lowest number by two, then its product will increase by 150. Determine both numbers.

Correct answer:

x =  75
y =  12

Step-by-step explanation:

xy=900 x(y+2)=900+150 xy+2x=900+150 2x=150 x=75
y=900/x=12



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • If we
    math If we increase the unknown number by 4%, we get 780. Determine the unknown number.
  • Volume increase
    basen How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
  • There 14
    skola There are 250 people in a museum. 2/5 of the 250 people are girls 3/10 of the 250 people are boys The rest of the 250 people are adults Work out the number of adults in the museum.
  • Euros
    bicycles Peter, Jane, and Thomas have together € 550. Tomas has 20 euros more than Jane, Peter € 150 less than Thomas. Determine how much has each of them.
  • Percents
    percents2 How many percents is 900 greater than the number 750?
  • Two-digit number
    numbers In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits but in reverse order, we get product 3 478. Find the original number.
  • In the 14
    workers In the survey, the barangay had a certain number of families, and 60% of them are identified and belong to the marginalized sector's poor if the total families are 150. How many families belong to the poor sector?
  • Bricklayers
    murar Seven bricklayers will build the house in 630 days. How many bricklayers do we need to take after 150 days to complete the building for (additional) 336 days?
  • Remainders
    dividing It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
  • Tissues
    harmasan The store got three kinds of tissues - 132 children, 156 women and 204 men. Tissues each species were packed into boxes after the number of pieces the same for all three types (and greatest). Determine the number, if you know that every box has more than
  • Diofant equation
    eq222 250x + 120y = 5640
  • I think number
    hats I think number.When I add 841 to it and subtract 157, I get a number that is 22 greater than 996. What number I thinking?
  • MO Z8-I-1 2018
    age Fero and David meet daily in the elevator. One morning they found that if they multiply their current age, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Fero and David.
  • Cranberries
    vaha They brought 65 kg of dried cranberries to the packing house. They made 150-gram and 200-gram packages from them. How many kilograms of cranberries did they use for the smaller 200 packages? How many 200 gram packages were there?
  • Described
    desc_circle Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
  • Pagans
    rohliky Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
  • Pennies
    Toliar.preview 800 pennies have the same value as 100 ducats. 100 pennies have the same value as 250 tolars. How many ducats has the same value as 100 tolars?