![UaRemomGAY](/avatars/10044.jpg)
UaRemomGAY
30.07.2019 •
Mathematics
Find three positive consecutive integers such that the product of the second integer and the third integer is 72
Solved
Show answers
More tips
- G Goods and services How to choose a washing machine?...
- F Family and Home Is it Worth Knowing the Gender of Your Child Before Birth?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
Answers on questions: Mathematics
- M Mathematics Change the subject of the equation y=ax2 +bx-c to a=, b= and c=...
- M Mathematics Find the values of x and y....
- M Mathematics Aclosed container has 5.04 ⋅ 1023 atoms of a gas. each atom of the gas weighs 1.67 ⋅ 10−24 grams. which of the following shows and explains the approximate total mass,...
- E English Tell me if i did good or not dear friend You are more fun than anyone or anything I know You are the most perfect you there is.You are enough.You are one of the strongest...
Ответ:
Let xbe a positive integer number. Then x, x+1 and x+2 are three positive consecutive integers (the first one is x, the second is x+1 and the third is x+2).
The product of the second integer and the third integer is (x+1)·(x+2) and is equal to 72. So you have the equation
Solve it:
Solution
is extra because
is negative.
three positive consecutive integers are 7, 8 and 9.
Ответ:
x---------> first positive integer
x+1------> second positive integer
x+2-----> third positive integer
we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0
using a graph tool-------> I solve the quadratic equation
see the attached figure
the roots are
x1=-10
x2=7
the answer is
first positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9
Ответ: