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

Maths, what is the diameter of a circle

what is the diameter of a circle

Polynomial time algorithm - first order query, For queries Q 1 and Q 2 , w...

For queries Q 1 and Q 2 , we say Q 1 is contained in Q 2 , denoted Q 1 ⊆ Q 2 , iff Q 1 (D) ⊆ Q 2 (D) for every database D. The container problem for a fixed Query Q 0 i

QM II, A HOSPITAL CURRENTLY ORDERS SALINE AT THE BEGINNING OF EACH MONTH. T...

A HOSPITAL CURRENTLY ORDERS SALINE AT THE BEGINNING OF EACH MONTH. THIS MONTH, THEY HAD 178 BAGS OF SALINE IN STOCK AND ORDERED 1,277 BAGS. DEMAND FOR SALINE IS NORMALLY DISTRIBUTE

Slope, how would I graph the equation 2x-5y=5?

how would I graph the equation 2x-5y=5?

Forecast errors, Forecast Errors Differences among actual results and ...

Forecast Errors Differences among actual results and predictions may arise from many reasons. They may arise from random influences, usual sampling errors, option of the wrong

Estimate how much did larry spend, Larry purchased 3 pairs of pants for $24...

Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.

Karatsubas algorithm, Consider the following two polynomials in F 17 [x] ...

Consider the following two polynomials in F 17 [x]   (a) Use Karatsuba's algorithm, by hand, to multiply these two polynomials. (b) Use the FFT algorithm, by hand, to

A card is drawn from a well shuffled deck of cards, A card is drawn from a ...

A card is drawn from a well shuffled deck of cards (i) What are the odds in favour of getting spade? (Ans: 1:3, 3:1, 3:10, 1:25) (ii)  What are the odds against getting a spa

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