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

Where is the bus in relation to the hotel, A bus picks up a group of touris...

A bus picks up a group of tourists at a hotel. The sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. Where is the bus in relat

Find the length of the rectangle, Suppose that the width of a rectangle is ...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a)    Set up an equation for the perimeter involving

Terminology of polynomial, Terminology of polynomial Next we need to ge...

Terminology of polynomial Next we need to get some terminology out of the way. Monomial polynomial A monomial is a polynomial which consists of exactly one term.

Limits, lim(x->0) xln²(xln(x))

lim(x->0) xln²(xln(x))

Determine the area of the inner loop - polar coordinates, Determine or find...

Determine or find out the area of the inner loop of r = 2 + 4 cosθ. Solution We can graphed this function back while we first started looking at polar coordinates.  For thi

Fraccions, multiply 9/19 times 95/7

multiply 9/19 times 95/7

Marketing management , Draw the typical profile(s) of Shoppers'' Stop custo...

Draw the typical profile(s) of Shoppers'' Stop customers segments.

Trignometry, how can i easily solve the trignometry question?

how can i easily solve the trignometry question?

Cartesian graph of density of water - temperature, Cartesian Graph of Densi...

Cartesian Graph of Density of Water - Temperature: Example:  The  density  of  water  was  measured  over  a  range  of  temperatures.   Plot the subsequent recorded data on

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