Find the lesser of two consecutive positive even integers, Mathematics

Assignment Help:

Find the lesser of two consecutive positive even integers whose product is 168.

Let x = the lesser even integer and let x + 2 = the greater even integer. Because product is a key word for multiplication,  the equation is x(x + 2) = 168. Multiply using the distributive property on the left side of the equation: x2 + 2x = 168. Put the equation in standard form and set it equal to zero: x2 + 2x - 168 = 0. Factor the trinomial: (x - 12)(x + 14) = 0. Set every factor equal to zero and solve: x - 12 = 0 or x + 14 = 0; x = 12 or x = -14. Because you are seems for a positive integer, reject the x-value of -14. Thus, the lesser positive integer would be 12.

 


Related Discussions:- Find the lesser of two consecutive positive even integers

Numertic methods, solve by factorization method; 10x-6y-3z=100, -6x+10y-5z=...

solve by factorization method; 10x-6y-3z=100, -6x+10y-5z=100, -3x-5y+10z=100

Complex numbers from the eigenvector and the eigenvalue, Complex numbers fr...

Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.

Types of infinity, TYPES OF INFINITY : Mostly the students have run across...

TYPES OF INFINITY : Mostly the students have run across infinity at several points in previous time to a calculus class. Though, when they have dealt along with this, this was jus

Find how much more space than the toy it will cover, A Solid toy in the for...

A Solid toy in the form of a hemisphere surmounted by the right circular cone of height  2cm  and  diameter  of  the  base  4  cm .If  a right  circular  cylinder circumscribes the

Systems of differential equations, In the introduction of this section we b...

In the introduction of this section we briefly talked how a system of differential equations can occur from a population problem wherein we remain track of the population of both t

Free Assignment Test Online, Well, my uncle want me to tutor him in mathema...

Well, my uncle want me to tutor him in mathematics. But, the problem is I don''t know what he already knows about math. It for his Compass Test when he go back to school in the spr

Proof integral function, Proof of: if f(x) > g(x) for a x b th...

Proof of: if f(x) > g(x) for a x b then a ∫ b  f(x) dx > g(x). Because we get f(x) ≥ g(x) then we knows that f(x) - g(x) ≥ 0 on a ≤ x ≤ b and therefore by Prop

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