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

Question

asked Mar 17, 2019 227k views

1 Answer

Matt Jacob · Answer 1 · 2019-03-21T22:51:03+0000

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