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

Explain the common forms of linear equations, Explain the Common Forms of L...

Explain the Common Forms of Linear Equations ? An equation whose graph is a line is called a linear equation. Here are listed some special forms of linear equations. Why should

I want to learn mathematics, I was never really good at mathematics what is...

I was never really good at mathematics what is the best way? I am reading Math better explained but is there anything else I can do? I want to study advanced topics and get a good

Proper fractions, find all the kinds of fraction and give an 10 examples.

find all the kinds of fraction and give an 10 examples.

Determine the number of combinations, 3 items x, y and z will have 6 differ...

3 items x, y and z will have 6 different permutations however only one combination. The given formular is generally used to determine the number of combinations in a described situ

Example of convergent or divergent - comparison test, Determine if the subs...

Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term

Decimals, how to make 2.3 into a fraction?

how to make 2.3 into a fraction?

Geometry, what shapes can go into a triangular prism

what shapes can go into a triangular prism

Quantitative analysis, Suppose the economy is now ‘open’ and thus has an ex...

Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget

Equilibrium solutions, In the earlier section we modeled a population depen...

In the earlier section we modeled a population depends on the assumption that the growth rate would be a constant. Though, in reality it doesn't make much sense. Obviously a popula

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