Two consecutive integers is 15 find out the larger integer, Mathematics

Assignment Help:

If the difference among the squares of two consecutive integers is 15 find out the larger integer.

Let x = the lesser integer and let x + 1 = the greater integer. The sentence, "the difference among the squares of two consecutive integers is 15," can translate to the equation (x + 1)2 - x2 = 15. Multiply the binomial (x + 1)2 as (x + 1)(x + 1)by using the distributive property:  x2 + 1x + 1x + 1 - x2 = 15. Merge like terms: 2x + 1 = 15; subtract 1 from both sides of the equation: 2x + 1 - 1 = 15 - 1. Divide both sides through 2: 2x/2= 14/2. The variable is now alone: x = 7. Thus, the larger consecutive integer is x + 1 = 8.

 


Related Discussions:- Two consecutive integers is 15 find out the larger integer

Quantitative Techniques, The following table given the these scores and sal...

The following table given the these scores and sales be nine salesman during last one year in a certain firm: text scores sales (in 000''rupees) 14 31 19

Lpp, A paper mill produces two grades of paper viz., X and Y. Because of ra...

A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i

Need some clarity?, THE % PARTICIPATION Feature in a major medical expense ...

THE % PARTICIPATION Feature in a major medical expense policy is 75% with a $100 deductible. how much of a $2,000 bill is the insured responsible for paying?

Operations and properties, use an expression to write an expression with fi...

use an expression to write an expression with five 3s that has a value of 0

Calculus, find or evaluate the integral integrate((e^2x + e^x + 1)/(e^x))dx...

find or evaluate the integral integrate((e^2x + e^x + 1)/(e^x))dx

Examples of linear equation, Examples of Linear Equation Please provid...

Examples of Linear Equation Please provide me some Examples of Linear Equation?

Calculus, I need help with my calculus

I need help with my calculus

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