Question

Solve by completing the square:
4x^2+24x=11
Show steps please. Thank you! :)

Answer 1

I know, i really cant get it, i'm gettin desperate lol :O

Answer 2

4x^2 +24x = 11

4(x^2 +6x) = 11

4(x^2 +6x+9) = 11 +4(9)

x^2 +6x+9 = (11 +4(9))/4

(x+3)^2 = (11 +4(9))/4

x+3 = +- sqrt((11 +4(9)))/2

x = -3 +- sqrt((11 +4(9)))/2

Answer 3

x = -3 +- sqrt((11 +36))/2

x = -3 +- sqrt(47)/2

Answer 4

do you have any questions? just let me know

Answer 5

\[So the final answer looks like this, correct?x=-3\pm \sqrt{47/2}\]

Answer 6

* So the final answer looks like this? ^^