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

Projects, maths projects for class 11

maths projects for class 11

Find out that the relation is an equivalent relation or not, Let m be a pos...

Let m be a positive integer with m>1. Find out whether or not the subsequent relation is an equivalent relation. R = {(a,b)|a ≡ b (mod m)} Ans: Relation R is illust

Method of cylinders or method of shells, Method of cylinders or method of s...

Method of cylinders or method of shells The formula for the area in all of the cases will be,                                                        A = 2 ∏ ( radius ) (heig

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.

Determine the determinant of matrix, Example Determinant:   Determine ...

Example Determinant:   Determine the determinant of each of the following matrices. Solution : For the 2 x 2 there isn't much to perform other than to plug this in

Determine y' for xy = 1 by implicit differentiation, Determine y′ for xy = ...

Determine y′ for xy = 1 . Solution : There are in fact two solution methods for this problem. Solution 1: It is the simple way of doing the problem.  Just solve for y to

Pigeonhole principle, By pigeonhole principle, show that if any five number...

By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9.    Answer: Let make four groups of two numbers from 1 to 8 like

CIECLE, HOW TO DRAW A TANGENT SEGMENTS TO A CIRCLE WHEN CENTRE IS NOT KNOWN...

HOW TO DRAW A TANGENT SEGMENTS TO A CIRCLE WHEN CENTRE IS NOT KNOWN?

Lines- common polar coordinate graphs, Lines- Common Polar Coordinate Graph...

Lines- Common Polar Coordinate Graphs A few lines have quite simple equations in polar coordinates. 1.  θ = β We are able to see that this is a line by converting to Car

Product moment coefficient (r), Product Moment Coefficient (r) ...

Product Moment Coefficient (r) This gives an indication of the strength of the linear relationship among two variables.                                     N

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