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!, x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by...

x+2y^2=63 and 4x+y^2=0; Find the area of the regions enclosed by the lines and curves.

Collecting and interpreting data, Q. How to Collecting and interpreting dat...

Q. How to Collecting and interpreting data? Ans. Collecting and interpreting data is the most important job of a statistician. There are many types of studies and differe

Divison, what is 24 diveded by 3

what is 24 diveded by 3

HELP, A local pizza shop sells large pies for $7 each. If the cost of the o...

A local pizza shop sells large pies for $7 each. If the cost of the order is proportional to the number of pizzas would they charge a delivery charge per pizza or per order ?

Wants to Join as expert, Hi.. This is dinesh kumar I just joined experminds...

Hi.. This is dinesh kumar I just joined experminds.com , i wamt to receive assignment in maths and want to complete students assignment within time. Please help me how i can become

Fractions, question paper on fractions

question paper on fractions

Linear programming , Use the simplex method to solve the following LP Probl...

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

Replacement problems, how we will use the replacement problmes in our life?...

how we will use the replacement problmes in our life?

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