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ankoles [38]
3 years ago
15

What are the roots of 2x^2+4x+7? Use the quadratic formula. Show your work

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer:

First you must rewrite the given equation in standard form:

2x^2 - 4x + 7 = 0.  Here a=2, b=-4 and c=7.

The solutions are thus 

      -[-4] plus or minus sqrt( [-4]^2 - 4[2][7] )

x = --------------------------------------------------------

                                  4

                  4 plus or minus sqrt (16 - 56)

or:     x = --------------------------------------------

                                       4

16-56 = - 40, a negative number.  Thus, we must introduce the imaginary operator:  sqrt (-40) = 2i*sqrt(10)

The roots are thus:

        4 plus or minus 2i sqrt(10)              2 plus or minus i*sqrt(10)

x = -----------------------------------------  =  ---------------------------------------

                           4                                                        2

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