Question

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Answer 1

2x^2+3y^2-8x+6y+5=0
2(x^2-4x+4)+3(y^2+2y+1)=8+3 -5
2(x-2)^2 +3(y+1)^2=6
((x-2)^2)/3 +((y+1)^2)/2=1

Answer 2

oh okaii, i tried that, but it did not work for me. Wait let me check my work that I have okaii?

Answer 3

clearly centre is 2,-1
assume x-2=X and y+1=Y and then use the formulas u know
with properly translating back the cordinates

Answer 4

ok thanx if i have any more doubts and questions on this i will pm you okaii :}

Answer 5

how about the foci?