227k views
0 votes
Which are the solutions to the equation 4x^2-7x=3+24

User John Donn
by
8.6k points

1 Answer

5 votes

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


User Matt Jacob
by
8.1k points