Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Tam
Group Title
Find three consecutive integers whose sum of their squares is 194. Write an equation, and solve the equation.Your equation MUST be an algebra equation with a variable.
 2 years ago
 2 years ago
Tam Group Title
Find three consecutive integers whose sum of their squares is 194. Write an equation, and solve the equation.Your equation MUST be an algebra equation with a variable.
 2 years ago
 2 years ago

This Question is Closed

raheen Group TitleBest ResponseYou've already chosen the best response.1
x^2+(x+1)^2+(x+2)^2 = 194 ===> 3x^2+(x^2+3x+1)+(x^2+4x+4) =194 ===> combining ===> 3x^2+6x+5=194 ===> x^2+2x63 =0 ===> (x7)(x+9)=0 ===> x=7 or x=9 ===> x=7 ==> the numbers are 7 , 8 and 9
 2 years ago

Dalvoron Group TitleBest ResponseYou've already chosen the best response.0
If the three integers are consecutive, then that means they are of the form\[x, x+1, x+2\]or more simply\[x1,x,x+1\]If the sum of their squares is 194, then you can write:\[(x1)^2+x^2+(x+1)^2=194\]From there, expand the brackets, and you'll end up with quite a simple equation which can be solved to find x (as well as x  1, and x + 1). Take note of the fact that the question asks for "three consecutive \(\underline{integers}\)", which means they can be positive or negative. In fact, solving for x will get you two sets of numbers, which are equally valid.
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.