How to convert (-8.9)^2/.9^2+(y-3.3)^2/1.1^2=0.1

Question

howvto convert this to y=

Answer 1

√(-8.9)²       (y-3.3)²

--------  +  ----------   = 0.1

(.9)²          (1.1)²

 

1-Order of operations:

   deal with the exponents,

   the result will be:

   79.21      y²-6.6y+10.89

   ------- + ------------------ = .01

     .81             1.21

 

2-To add these fractions, a LDC is needed,

which would be .9801 (.81 x 1.21). The

denominators would go away, but the

numerators would be:

1.21(79.21) + .81(y²-6.6y+10.89) = 0.09

 

3-Multiply the (), the result would be:

95.84 + .81y²-5.35y+8.82 = 0.09

 

4-Combine like terms

.81y²-5.35y+104.66 = 0.09

 

5-Set to =0; the result would be:

.81y²-5.35y+104.57 = 0

 

6-Use the quadratic formula to convert to y:

       -(-5.35)±√(-5.35)²-4(.81)(104.57)

y =  ----------------------------------------

                        2(.81)

 

       5.35±√28.62-4(84.70)

y=   --------------------------

                  1.62

 

       5.35±√28.62-338.8

y=   ------------------------

                 1.62

 

       5.35±√-310.18

y=   ------------------

             1.62

 

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