Two consecutive integers is 15 find out the larger integer, Mathematics

Assignment Help:

If the difference among the squares of two consecutive integers is 15 find out the larger integer.

Let x = the lesser integer and let x + 1 = the greater integer. The sentence, "the difference among the squares of two consecutive integers is 15," can translate to the equation (x + 1)2 - x2 = 15. Multiply the binomial (x + 1)2 as (x + 1)(x + 1)by using the distributive property:  x2 + 1x + 1x + 1 - x2 = 15. Merge like terms: 2x + 1 = 15; subtract 1 from both sides of the equation: 2x + 1 - 1 = 15 - 1. Divide both sides through 2: 2x/2= 14/2. The variable is now alone: x = 7. Thus, the larger consecutive integer is x + 1 = 8.

 


Related Discussions:- Two consecutive integers is 15 find out the larger integer

4.4238/[1.047+{1.111*[9.261/7.777]}*1.01, Ask question #Min 4.4238/[1.047+{...

Ask question #Min 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

Relations, Suppose A and B be two non-empty sets then every subset of A Χ B...

Suppose A and B be two non-empty sets then every subset of A Χ B describes a relation from A to B and each relation from A to B is subset of AΧB. Normal 0 fals

Find the function and domain, Consider the function f(x) = x + 1/x 2 + 2x ...

Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si

Determine the value of the unknown side of a right triangle, Determine the ...

Determine the value of the unknown side of a right triangle: The two legs of a right triangle are 5 ft and 12 ft.  How long is the hypotenuse? Now Let the hypotenuse be c ft.

Find a relationship chart and closeness ranks, 1.A manufacturing facility c...

1.A manufacturing facility consists of five departments, 1, 2, 3, 4 and 5. It produces four components having the manufacturing product routings and production volumes indicated in

SHARES AND DIVIDEND, PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVID...

PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVIDEND

How many times must he mow across the width of the lawn, Allan has been hir...

Allan has been hired to mow the school soccer field that is 180 ft wide through 330 ft long. If his mower mows strips which are 2 feet huge, how many times must he mow across the w

Plus, 236+2344+346=

236+2344+346=

Variation and proportion, i am not getting what miss has taught us please w...

i am not getting what miss has taught us please will you will help me in my studies

Carrot juice, 1. His favorite current carrot drink contain 40%. but h eneed...

1. His favorite current carrot drink contain 40%. but h eneeds add to 80 quarts wife brought his perfect drink mix.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd