When this equation is solved: 1.77 × 10 − 2 = x 2 0.344 − x

Question

When this equation is solved:  1.77  ×      10          −      2        =            x      2              0.344      −      x

Addison Herman · Accepted Answer

1.77  ×      10          −      2        =            x      2              0.344      −      x          ⇒  1.77  ×      10          −      2        (  0.344  )  −  1.77  ×      10          −      2        =      x    2      ⇒  0.60888  ×      10          −      2        −  1.77  ×      10          −      2        x  −      x    2    =  0    −      x    2    −  1.77  ×      10          −      2        x  +  0.60888  ×      10          −      2        =  0use, quadratic formula  x  =            −      b      ±                        b          2                −        4        a        c              2      x  =            −      1.77      ×              10                  −          2                    ±              (        1.77        ×                  10                      −            2                                    )          2                −        4        (        −        1        )        (        0.60888        ×                  10                      −            2                          )                    2      (      −      1      )          x  =  0.06975    x  =  −  0.0873759

When this equation is solved: 1.77 x 10^-2 = x^2/(0.344 -x)

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