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

Truth criteria-nature of mathematics, Truth Criteria :  Consider the follo...

Truth Criteria :  Consider the following statements: i) Peahens (i.e., female peacocks) lay eggs around September. ii) Water boils at 100°C. iii) 5 divides 15 without lea

Solve the subsequent proportion, Solve the subsequent proportion: Exa...

Solve the subsequent proportion: Example: Solve the subsequent proportion for x. Solution: 5:x = 4:15 The product of the extremes is (5)(15) = 75. The produ

Light take 5.3 × 10-6 seconds calculate standard notation, It takes light 5...

It takes light 5.3 × 10 -6 seconds to travel one mile. What is this time in standard notation? In order to convert this number to standard notation, multiply 5.3 through the f

Mathematics Logic & Set Applications, I have a 40 question assignment for t...

I have a 40 question assignment for this topic, will you be able to complete it?

World problem, Buses to Acton leave a bus station every 24 minutes. Buses t...

Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9

Important formulas of functions , Important formulas d (a b )/ dx  = 0...

Important formulas d (a b )/ dx  = 0                              This is a constant d ( x n ) / dx = nx n -1                      Power Rule d (a x ) / dx = a x l

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