Solve following equations: { K = B – 3 20 K = ( 20 S + 3 ) R + S K = 20 S 2 + ( 20 N + 7 ) S + N N = S − R - And the B values, e.g : 173 , 283 , 2343 , 834343How to find the R values?

Question

Solve following equations:      {                            K          =                                    B              –              3                        20                                                K          =          (          20          S          +          3          )          R          +          S                                      K          =          20                      S            2                    +          (          20          N          +          7          )          S          +          N                                      N          =          S          −          R                        - And the   B values, e.g :   173  ,     283  ,     2343  ,     834343How to find the   R values?

h2a2l1i2morz · Accepted Answer

K  =  40      S    2    +  (  8  −  20  R  )  S  −  R    ⟺    K  =  40            (                        K          −          3          R                          20          R          +          1                    )        2    +  (  8  −  20  R  )  ⋅            K      −      3      R              20      R      +      1        −  R    ⟺    K  (  20  R  +  1      )    2    =  40  (  K  −  3  R      )    2    +  (  20  R  +  1  )  (  8  −  20  R  )  (  K  −  3  R  )  −  R  (  20  R  +  1      )    2      ⟺    20  K  (  20  R  +  1      )    2    =  800  (  K  −  3  R      )    2    +  20  (  20  R  +  1  )  (  8  −  20  R  )  (  K  −  3  R  )  −  20  R  (  20  R  +  1      )    2      ⟺        20    K    (  20  R  +  1      )    2    =  2  (      20    K    −  60  R      )    2    +  (  20  R  +  1  )  (  8  −  20  R  )  (      20    K    −  60  R  )  −  20  R  (  20  R  +  1      )    2      ⟺        (    B    −    3    )    (  20  R  +  1      )    2    =  2  (      B    −    3    −  60  R      )    2    +  (  20  R  +  1  )  (  8  −  20  R  )  (      B    −    3    −  60  R  )  −  20  R  (  20  R  +  1      )    2      ⟺    16000      R    3    +  (  400  −  800  B  )      R    2    +  (  −  80  −  140  B  )  R  +  2      B    2    −  5  B  −  3  =  0.

Solve following equations: {K=(B-3)/(20), K=(20S+3)R+S, K=20S^2+(20N+7)S+N, N=S-R And the B values, e.g : 173, 283, 2343, 834343 How to find the R values?

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