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

Pls Help... (Write in complete sentences to explain what a budget is, how to make one, and how to balance it.)
why did the bolsheviks think the czar was dangerous
heat flows from what substances ?
THE FOLLOWING IS A SEQUENCE OF PROBLEMS! PLZ ANSWER ASAP AND IF YOU CAN PLZ SHOW UR WORK! I WILL REWARD 16PTS AND BRAINLIEST! THX! ARE THE FOLLOWING STATEMENTS
Is (2,-3) a solution for the linear equation y = 4x - 5? Justify your answer
Please help! I have 36 coins with a total value of $2.35. The coins are 5-cent and 10-cent coins. How many 5-cent coins do I have?
Can you please answer this for me ? I’m confused .
PLEASE HELP. I CANNOT FIGURE IT OUT!!! In the diagram below, point U is on segment BY and the measure of BUG is 30 degrees greater than the measure of angle GU
Price increased from $20 to $23
Find the surface area of the cone in terms of pi.