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

Mathematical science, state tha different types of models used in operation...

state tha different types of models used in operations research.

Matrices, det(adj A)for 1*1 matrix

det(adj A)for 1*1 matrix

Develop a linear program to investment advisory firm, An investment advisor...

An investment advisory firm manages funds for its numerous clients. The company uses an asset allocation model that recommends the portion of each client's portfolio to be invested

Calculate the net amount and distance, 1. A train on the Bay Area Rapid Tra...

1. A train on the Bay Area Rapid Transit system has the ability to accelerate to 80 miles/hour in half a minute. A.   Express the acceleration in miles per hour per minute. B

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

Fractions, what Is the common denominator for 1/2 and 1/4

what Is the common denominator for 1/2 and 1/4

Complex number 1pi in polar form, Whlie solving complex number 1pi in polar...

Whlie solving complex number 1pi in polar form.In book they have taken theta =-pi/4 why not 7pi/4 because the point lie in fourth quadrant and the theta is given by 2pi-angle(alpha

Determine the size of the proposed repayments, Five years ago a business bo...

Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after

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