Consecutive positive odd integers 74 what is integer value, Mathematics

Assignment Help:

The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer?

Let x = the lesser odd integer and let x + 2 = the greater odd integer. The translation of the sentence, "The sum of the squares of two consecutive odd integers is 74," is the equation x2 + (x + 2)2 = 74. Multiply (x + 2)2 out as (x + 2)(x + 2) by using the distributive property:  x2 + (x2 + 2x + 2x + 4) = 74. Combine such as terms on the left side of the equation: 2x2 + 4x + 4 = 74. Put the equation in standard form through subtracting  74 from both sides, and set it equal to zero: 2x2 + 4x - 70 = 0; factor the trinomial  completely: 2(x2 + 2x - 35) = 0; 2(x - 5)(x + 7) = 0. Set each factor equal to zero and solve: 2 ≠ 0 or x - 5 = 0 or x + 7 = 0; x = 5 or x = -7. Because you are seems for a positive integer, reject the solution of x = -7. Thus, the smaller positive integer is 5.

 


Related Discussions:- Consecutive positive odd integers 74 what is integer value

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

Four distinct points on a circle, If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are f...

If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to??   Ans) As they are of form (x,1/x) let eq of circle be x

Stratified sampling, Stratified sampling In stratified sampling case t...

Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati

.probability, a box contains 4 white and 6 green balls.Two balls are drawn ...

a box contains 4 white and 6 green balls.Two balls are drawn randomly with replacement.Show the probability on tree dig.

Three whole divisions, In the National Hockey championship, there are 30 in...

In the National Hockey championship, there are 30 independent ice hockey teams. Every of the teams will play 82 official NHL games every year. Many teams will have to travel from t

5th grade math, jack and his mother paid $11.50 for tickets to the movies. ...

jack and his mother paid $11.50 for tickets to the movies. An adult''s ticket costs $4.50 more than a child''s ticket. What was the cost of each ticket?

Linear Equations of Parallel Lines, A line has the equation 2y=-3x+1. Find...

A line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

Comparing and scaling, a dairy mngr says it takes 70lbs of make 10 lbs of c...

a dairy mngr says it takes 70lbs of make 10 lbs of cottage cheese... How do I make a rate table and a make a graph showing the relationship between lbs of milk and lbs of cottage c

#probability, A B C play a game. If chance of their winning it in an attemp...

A B C play a game. If chance of their winning it in an attempt arr2/3, 1/2, 1/4 respective. A has a first chance followed by Band Called respective chances of winning the game.

Index of summation - sequences and series, Index of summation - Sequences a...

Index of summation - Sequences and Series Here now, in the i is termed as the index of summation or just index for short and note that the letter we employ to represent

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