Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​
​Answered Questions

Find the two numbers

3/15/2023

0 Comments

 
One number is 2 more than 3 times another. Their product is 16. Find the numbers.

x = one number
3x + 2 = other number
  {one number is 2 more than 3 times the other}

x(3x + 2) = 16   {their product is 16}
3x² + 2x = 16   {used distributive property}
3x² + 2x - 16 = 0   {subtracted 16 from each side}
(3x + 8)(x - 2) = 0   {factored into two binomials}
3x + 8 = 0  or  x - 2 = 0  {set each factor equal to zero}
x = -8/3  or  x = 2  {solved each equation}
3x + 2 = -6  or  3x + 2 = 8  {substituted -8/3 and 2, in for x, into 3x + 2}

The two sets of numbers could be -8/3 and -6, or  2 and 8.

Ask Algebra House

0 Comments

Your comment will be posted after it is approved.


Leave a Reply.


    Ask a Question
    Picture
    Latest Videos
    Picture

    Archives

    March 2023
    February 2023
    January 2023
    December 2022
    October 2022
    September 2022
    August 2022
    July 2022
    June 2022
    May 2022
    April 2022
    March 2022
    February 2022
    January 2022
    December 2021
    November 2021
    October 2021
    September 2021
    August 2021
    July 2021
    June 2021
    May 2021
    April 2021
    March 2021
    February 2021
    January 2021
    December 2020
    November 2020
    October 2020
    September 2020
    August 2020

In case you missed it:
Search algebrahouse.com:
Go Home
​​Ask a Question
Answered Questions
Algebra Examples
State Test Practice

ACT and SAT Practice​
Blog
Notes Archive

​Problem Solver
Graphing Calculator
3D Graphing Calculator
​Leave a Tip
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip