Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 7 times the third.

Question

nanette7087 nanette7087

04-04-2018
Mathematics

contestada

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 7 times the third.

Respuesta :

Otras preguntas

12 ÷ 4 + (3 − 2) × 7

as outlined in the text, global social movements in which archaeologists are actively involved include

What are 10 rhetoric terms from Am. Literature?

Suppose a point charge is located at the center of a spherical surface. The electric field at the surface of the sphere and the total flux through the sphere ar

What is the chemical formula of dihydrated Aluminum Oxide

will give brainliest, really struggling with probability questions. any type of help would be appreciated

Which of the following is a subordinate clause? O As soon as we made it home OI feel asleep in minutes Our team won the softball tournament O It was a wonderful

In the mid-1800s, Democrats believed that a policy of Manifest Destiny would prevent a war with nations that claimed territory in North America. be less importa

correlating nuclear morphology and external force with combined atomic force microscopy and light sheet imaging separates roles of chromatin and lamin a/c in nu

Filtration is useful for separating: (1 point) O solids from liquids or gases compounds O O liquids from liquids O solutions

Аноним Аноним · Answer 1 · 2018-04-04T11:31:26+02:00

--------------------------------------------------------------------
Define x :
--------------------------------------------------------------------
Let the smallest number be x.
First number = x
Second Number = x + 1
Third Number = x + 2

--------------------------------------------------------------------
Construct equation :
--------------------------------------------------------------------
x(x+2) - (x+1) = 7(x+2) + 1

--------------------------------------------------------------------
Solve x :
--------------------------------------------------------------------
x(x + 2) - (x + 1) = 7(x + 2) + 1
x² + 2x - x - 1 = 7x + 14 + 1
x²- 6x - 16 = 0
(x+2)(x-8) = 0
x = -2 or x = 8

Since x is a positive integer, it cannot be negative.
⇒x = 8

--------------------------------------------------------------------------
Answer: The three numbers are 8, 9 and 10.
--------------------------------------------------------------------------

Find three consecutive positive integers such that the product of the first and​ third, minus the​ second, is 1 more than 7 times the third.

Respuesta :

Otras preguntas

Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 7 times the third.