Square the next consecutive integer find the lesser integer, Mathematics

Assignment Help:

The square of one integer is 55 less than the square of the next consecutive integer. Find the lesser integer.

Let x = the lesser integer and let x + 1 = the greater integer. The sentence, "The square of one integer is 55 less than the square of the further consecutive integer," can translate to the equation x2 = (x + 1)2 -55. Multiply the binomial (x + 1)2 as (x + 1)(x + 1) by using the distributive property:  x2 = x2 + 1x + 1x + 1 - 55. Combine  such as terms: x2 = x2 + 2x - 54. Subtract x2 from both sides of the equation: x2 - x2 = x2 - x2 + 2x - 54. Add 54 to both sides of the equation: 0 + 54 = 2x - 54 + 54. Divide both sides through 2:  54/2 = 2x/2. The variable is now alone: 27 = x. The lesser integer is 27.

 


Related Discussions:- Square the next consecutive integer find the lesser integer

Mathematics- in our lives , MATHEMATICS - IN OUR LIVES : What is the mo...

MATHEMATICS - IN OUR LIVES : What is the most obvious example of mathematics in your life? To many of us it is the maths that we studied in school. But is that all the mathemat

Math, could you help me get bater at math

could you help me get bater at math

Probability, There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs ...

There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs are choosen at random then what is the probability of there are just 3defective bulbs

Definition of functions, Definition: An equation is considered as function...

Definition: An equation is considered as function if for any x in the domain of the equation (the domain is the entire x's which can be plugged into the equation) the equation wil

Find the area of the rhombus, Show that the points (3, 0), (4, 5), (-1, 4) ...

Show that the points (3, 0), (4, 5), (-1, 4) and (-2, -1) taken in order are the vertices of a rhombus. Also find the area of the rhombus.

Probability, a die was rooled 500 times and number of times 4 came up was n...

a die was rooled 500 times and number of times 4 came up was noted if the imperical probability calculated from this information 7_10

Trignometry, prove that cos(a)/1-sin(a)=tan(45+A/2)

prove that cos(a)/1-sin(a)=tan(45+A/2)

Find extrema & relative extrema f ( x ) = x3 on [-2, Recognizes the absolut...

Recognizes the absolute extrema & relative extrema for the given function.                                                    f ( x ) = x 3      on        [-2, 2] Solution :

Linear programming, how i do project in linear programming in agriculture

how i do project in linear programming in agriculture

Determine differential equation from direction field, Thus, just why do we ...

Thus, just why do we care regarding direction fields? Two nice pieces of information are there which can be readily determined from the direction field for a differential equation.

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