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

General rule - probability rule, GENERAL RULE A general rule is to sub...

GENERAL RULE A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or th

Find the evaluation of angle, In parallelogram ABCD, ∠A = 5x + 2 and ∠C = 6...

In parallelogram ABCD, ∠A = 5x + 2 and ∠C = 6x - 4. Find the evaluation of ∠A. a. 32° b. 6° c. 84.7° d. 44° a. Opposite angles of a parallelogram are same in measu

Linear programming, I want to send to you a file for my question.How. Could...

I want to send to you a file for my question.How. Could you please send my a link for that.

Calculate the amplitude of trigonometry function, Consider the trigonometri...

Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )). (a) What is the amplitude of f (t)? (b) What is the period of f(t)? (c) What are the maximum and mi

Find the third vertex of a triangle, Find the third vertex of a triangle if...

Find the third vertex of a triangle if its two vertices are (-1, 4) and (5, 2) and mid point of one side is (0, 3).

Marketing of herbal products , To help Himalya herbal launch a successful m...

To help Himalya herbal launch a successful marketing campaign in the UK

Diameter of the circle , The length of the diameter of the circle which tou...

The length of the diameter of the circle which touches the X axis at the point (1,0) and passes through the point (2,3) is ? Solution)  If a circle touches the x-axis, its equatio

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