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

Calculus, The law of cosines can only be applied to acute triangles. Is thi...

The law of cosines can only be applied to acute triangles. Is this true or false?

Shares and dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Fraction, maria has a slice of pizza that is 1/6 of the pizaa.Ben has a sli...

maria has a slice of pizza that is 1/6 of the pizaa.Ben has a slice of pizza that is 1/3 of the pizza, marias slice is bigger.draw pizzas to show how this is possible.

Example of addition of fractions, Example of addition of Fractions: 10...

Example of addition of Fractions: 105/64 + 15/32 + 1/6 =____ would require the denominator to be equal to 64 x 32 x 6 = 12,288. This type of number is very hard to use.

Boeing Company and Ingredient Branding Strategies, . The Boeing Company ma...

. The Boeing Company makes a number of different types of aircraft for the commercial airline industry, e.g., the 727, 747, 757, 767, and 777 jet models. Is there any way for Boei

Prove - digraph of a partial order has no cycle more than 1, Prove that the...

Prove that the Digraph of a partial order has no cycle of length greater than 1. Assume that there exists a cycle of length n ≥ 2 in the digraph of a partial order ≤ on a set A

Calculate area of a square, The area of a square is given by the formula wi...

The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is

Application of interpolation and extrapolation, Application Interpolati...

Application Interpolation and extrapolation are widely used by businessmen, administrators, sociologists, economists and financial analysts. While interpolation hel

Circle, prove that - there is one and only one circle passing through three...

prove that - there is one and only one circle passing through three non - collinear points

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