lola223
lola223 lola223
  • 03-05-2016
  • Mathematics
contestada

find two consecutive positive even numbers the sum of whose squares is 340

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 03-05-2016
consecutive even means
x and x+2 since they are 2 apart

sum of squares is 340
x^2+(x+2)^2=340
expand and add
x^2+x^2+4x+4=340
2x^2+4x+4=340
divide both sides by 2 to make it easier
x^2+2x+2=170
minus 170 bot sides
x^2+2x-168=0
facotr
(x-12)(x+14)=0
set each to zero
x-12=0
add 12
x=12

x+14=0
minus 14
x=-14
but they has to e positive to disregard


x=12
x+2=14

numbers are 12 and 14
Answer Link

Otras preguntas

Please help Asap, will give brainiest only if answer correctly with a good explanation
5x-2y = -25 Solve by linear combination please show work
Solve for r in the following equation: 2 (3+x) = 3r-4A. 7/3B. 5C. 7D. 10​
I need help with the image below ASAP
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best dea
He Perimeter of a regular decagon is 328cm stake the length of one of its sides
Based on the passage, what does Lennie struggle with? (from Of Mice and Men)a)cookingb) remembering thingsc)taking care of rabbits0 d) paying attention​
An object starts at position 12 on a horizontal line with a reference point of O. What is the position of the object if it moves 14 units to the left? O-26 O-2
which sentence best describes a scene of rising action of beowolf?
I don't know this question so please help me. It's urgent.