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Kobotan [32]
3 years ago
13

Which are the solutions to the equation 4x^2-7x=3+24

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Hello from MrBillDoesMath!

Answer:

        (1/8)  ( 7 + sqrt(481)  )

        (1/8)  ( 7 - sqrt(481)   )

Discussion:

The equation is equivalent to  4x^2 - 7x -27 = 0  (as 3 + 24 = 0), Using the quadratic formula:

x =    ( - (-7) +\- sqrt ((-7)^2- 4*4*(-27))   )/ (2*4)

  = (1/8)   (  7  +\- sqrt(49+ 432)   ) =

   = (1/8)  ( 7 +\- sqrt(481))


Regards,  

MrB


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