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Find the solutions and explain the solution:

a+b=14

a^3+b^3=812

 May 14, 2020
 #1
avatar+23552 
+2

a = 14-b

 

b^3 + (14-b)^3 = b^3+      (196 -28b+b^2)(14-b) =

       b^3 +       2744-196b-392b+ 28b^2 +14b^2 -b^3 = 812

                                                                                  

      42b^2 -588b +1932 = 0            Quadratic Formula      a and b = 7+- sqrt 3          or    b = 5.268   a=8.732

                                                                                                                                            b= 8.732   a = 5.268

 May 14, 2020

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