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

Mean deviation, is that formula of sample and population for mean deviation...

is that formula of sample and population for mean deviation is the same?

Complex numbers, Complex Numbers In the radicals section we noted that...

Complex Numbers In the radicals section we noted that we won't get a real number out of a square root of a negative number.  For example √-9 isn't a real number as there is no

Core concepts, Discuss mareketing core concepts analysing how they are used...

Discuss mareketing core concepts analysing how they are used in marketing hospitality product

Intrgers, how to evaluate the sums

how to evaluate the sums

Find the greatest number of 6 digits exactly divisible by 24, Find the grea...

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit

Find a maximum flow and a minimum cut, Use the maximum flow algorithm to fi...

Use the maximum flow algorithm to find a maximum flow and a minimum cut in the given network, where the capacities of arc CF, EC , DE and BD are w = 13, x = 7, y =1, a

1trig, how do you find the tan, sin, and cos.

how do you find the tan, sin, and cos.

Project, transportation problem project

transportation problem project

matlab, how to solve simplex method using matlab

how to solve simplex method using matlab?

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