jyrchdix jyrchdix
  • 04-07-2017
  • Mathematics
contestada

the sum of the squares of two consecutive odd positive integers is 130. find the integers

Respuesta :

texaschic101
texaschic101 texaschic101
  • 04-07-2017
2 consecutive odd positive integers....x and x + 2

x^2 + (x + 2)^2 = 130
x^2 + (x + 2)(x + 2) = 130
x^2 + x^2 + 4x + 4 = 130
2x^2 + 4x + 4 = 130
2x^2 + 4x + 4 - 130 = 0
2x^2 + 4x - 126 = 0
2(x^2 + 2x - 63) = 0
2(x - 7)(x + 9) = 0

x - 7 = 0
x = 7

x + 9 = 0
x = -9 (cant be this one because it is negative

so x = 7...and x + 2 = 7 + 2 = 9......ur 2 numbers are 7 and 9

Answer Link

Otras preguntas

How is one million twelve thousand sixty wirtten in stander form?
Why men are against of shifts in gender roles??
Three apples weigh about a pound about how much would one apple cost round to the nearest tenth
Find the GCF of the following monomials. -50m⁴ n⁷ and 40m² n¹⁰
It is given that a+b=6 and ab=7. Find the value of a^2 + b^2.
Which substace is an inorganic molecule
Can anyone please help with my essay “What patriotism mean to you and similarities of patriotism in each country” Please!! It doesn’t have to be long, just what
Evaluate 3x + y when x = 1/3 and y = -7/4 Write the answer in simplest form
One dozen eggs cost $1.98 how much does 1 egg cost
The question is: What is the relative age of layer 3? (Hint: With what absolute ages can you compare it?)