0
Asquare plus b square plus c square -ab -bc -ca equals 0 then show that a equals b equals c?
Aksharma97
a^2 + b^2 + c^2 - ab - bc - ca = 0=> 2a^2 + 2b^2 + 2c^2 - 2ab - 2bc - 2ca = 0
=> a^2 - 2ab + b^2 + b^2 - 2bc + c^2 + c^2 - 2ca + a^2 = 0
=> (a - b)^2 + (b - c)^2 + (c - a)^2 = 0
Each term on the left hand side is a square and so it is non-negative.
Since their sum is zero, each term must be zero.
Therefore:
a - b = 0 => a = b
b - c = 0 => b = c.
Wiki User
∙ 7y ago
Add your answer:
Earn +20 pts
How do you solve 2x2 plus 20x plus 48 equals 0 using the quadratic formula- please show steps?
That factors to 2(x + 4)(x + 6) x = -4, -6
Show whether 0 3 is the solution of the linear system below 2x plus y equals -3 x plus 2y equals 8?
For (x, y) = (0, 3) the first equation gives: 2*0 + 3 = -3 that is, +3 = -3 which is FALSE. So (0, 3) is not a solution.
What is the favorite show on TLC?
This is no competition!!! The best and everyones favorite show on TLC is... JON AND KATE PLUS 8!!!!!
Why is the right angle squared?
To show it is a right angle, and that it is perfectly square.
What date is the last show of kate plus eight?
September 12 2011
How do you make a cross symbol on your keyboard?
you have to find the key with the plus and equals symbol. Then push the shift key and the plus/equals key. The "cross" should show up. Plus (+) equals (=). The plus should be above the equals.
4y-4 plus y plus 24 equals 6y plus 20-4Y equals Need to show process?
Algebra4y-4 plus y plus 24 equals 6y plus 20-4YCombine like terms5y+20=2y+20Isolate Y3y=0y=0
How do you show square root symbol in C plus plus code?
The square root symbol is Unicode 0x221A. To show it, you either need to draw it graphically, or you need to have a Unicode representation library.
How can you show your work to solving the equation of 5x-2y equals -10 3x plus 6y equals 66?
There are 2 unknowns
What is the answer of this show the solution 2x-y equals 3 -x plus 2y equals -6?
x = 0 & y = -3
Show a plus b divided 2 equals 2ab divided by a plus b?
b/2=2ab/+b means112.5
If z equals yf x2 - y2 show that ydz divided by dx plus xdz divided by dy equals xz divided by y?
4
How do you graph the line x plus y equals 3 on the Cartesian Plane?
bend over and ill show you
How could an estimate show you that 362.9 plus 42.8 plus 35.46 equals 826.36 is wrong?
360 + 40 + 35 = 435, nowhere close to 826.
What is -2 plus -12?
-14
What does the phrase show the part joined refer to in the problem 4 plus 2 equals 6?
6
7 minus 1 plus 6 equals show your work?
7-1=6 6+6=12
