SOLUTION: (x-3)²+(x+2)²+17

Algebra.Com
Question 174386: (x-3)²+(x+2)²+17
Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!
Should be equal to "0" to make it an eqn.
Let's expand:

, divide whole eqn by 2:

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -59 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -59 is + or - .

The solution is , or
Here's your graph:


Thank you,
Jojo
RELATED QUESTIONS

3|x|+2=17 (answered by RAY100)
17 e^x -... (answered by Alan3354)
3(2^x+6)=17 (answered by tv96)
(x-3)^2+(x+2)^2=17 (answered by jim_thompson5910)
(x - 3)^2 + (x + 2)^2 =... (answered by robertb)
x+3/x-2 - 1-x/x... (answered by mananth)
2/x+2=3/4x+17/8 (answered by JBarnum)
2(x-3)-17=13-3(x+2) (answered by rfer)
x+4+3=17 (answered by Fombitz)