a1  a2     b1  b2
1)  0.1 0.1    0.1 0.1    x = 1/2

2)  0.1 0.2    0.1 0.2    5x^2 + 10 x + 5 y^2 =   5 + ln4
                          5(x + 1)^2  + 5 y^2 =  10 + ln4
                           (x + 1)^2 +    y^2 = (10 + ln4)/5 = 2.277259

3) 0.1 0.2    0.15 0.25    5(x + 1)^2 + (8/3) Y^2 = 10 + ln(0.2*0.25/0.1*0.15)
                          5(x + 1)^2 + 2.666 Y^2 = 10 + ln(0.2*0.25/0.1*0.15)
                                                  = 10 + ln(50/15)
                                                   = 10 + ln(10/3)
                                                    = 10 + ln(3.333)
                                                      11.203973 
                            (x + 1)^2 + 0.5333 Y^2 = 2.240795
1/0.15=100/15=20/3=6.666
1/0.25=4
2.666/5=0.5333


5) 0.10 0.15   0.15 0.10   6.666 x^2 +13.333 x - 3.444443 y^2 = 6.666 + 0

2/0.15=200/15=40/3=13.333
1/0.15=6.666
1/0.1 = 10

7) 0.1 0.1  0.2 0.1            2/0.1 x + (5-10) y^2 = 10 + ln(0.02/0.01)   
                              20 x - 5 y^2 = 10 + ln2