Question

Solve 6x=the square root of (24 +12x).
Check for extraneous solutions.

Answer 1

\(6x=\sqrt{24+12x}\)
square both sides.
\(36x^2=24+12x\)
\(36x^2-12x-24=0\)
use quadratic formula to solve for x.
\[x=\frac{ -b\pm\sqrt{b^2-4ac} }{ 2a }\]
compare the equation \(36x^2-12x-24=0\) with the general equation \(ax^2+bx+c=0\) and find the values of a, b nd c. then plug in them in quadratic formula and find x. Does that help? @Parden_Owens

Answer 2

yes thank you @ajprincess

Answer 3

welcome:)