Find the root(s) of the quadratic equation 2 x 2 + 5 x − 12 = 0

Question

Find the root(s) of the quadratic equation   2      x    2    +  5  x  −  12  =  0

Cheyenne Lynn · Accepted Answer

So we have   2      x    2    +  5  x  −  12  =  0Let   α  ,  β be the roots of the equation   a      x    2    +  b  x  +  c  =  0Then   α  =            −      b      −              D                    2      a        β  =            −      b      −              D                    2      a      Here,   D  =      5    2    −  4  (  2  )  (  −  1  )  =  121    ⇒      D    =  11    α  =            −      5      +      11              2      ×      2        =      3    2      β  =            −      5      −      11              2      ×      2        =  −  4

Find the root(s) of the quadratic equation 2 x 2 + 5 x − 12...

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