SOLUTION: plese help me anwer this question i willput down the answer i originally recived but need to know if it is right or not if it is not please help me to get it right....x^2+11=6x it

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: plese help me anwer this question i willput down the answer i originally recived but need to know if it is right or not if it is not please help me to get it right....x^2+11=6x it      Log On


   



Question 509391: plese help me anwer this question i willput down the answer i originally recived but need to know if it is right or not if it is not please help me to get it right....x^2+11=6x
it has to be facotred i think or solved this is what i got so far
(x-3)^2+2=0
x^2-6x+11=0
-1/2(x-3)^2=1 is this right or not...i am not sure of it!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
plese help me anwer this question i willput down the answer i originally recived but need to know if it is right or not if it is not please help me to get it right....x^2+11=6x
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First, that's not a question, it's an equation.
I'll assume you want to solve it for x.
x^2+11=6x
x%5E2+-+6x+=+-11
It can't be factored, but you can complete the square.
x%5E2+-+6x+-+9+=+-11+%2B+9+=+-2
%28x-3%29%5E2+=+-2
x-3+=+%2Bsqrt%28-2%29 and
x-3+=+-+sqrt%28-2%29
x = 3 +/- i*sqrt(2)
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Another method:
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-6x%2B11+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%28-6%29%5E2-4%2A1%2A11=-8.

The discriminant -8 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 -8 is + or - sqrt%28+8%29+=+2.82842712474619.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-6%2Ax%2B11+%29

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