Question

Solve. x2 + 6x = 24

-3 ± sqrt 21
-3 ± sqrt 34
-3 ± sqrt 15
-3 ± sqrt 33

Answer 1

\[x^2+6x=24\]-24 -24\[x^2+6x-24=0\]\[(-b+-\sqrt{b^2-4ac})/2a\]\[((-6)+-\sqrt{(6)^2-4(1)(-24)})/2(1)\]\[(-6+-\sqrt{36+96})/2\]\[(-6+-\sqrt{132})/2\]\[(-6+-(11.5))/2\]\[(-6+11.5)/2=2.75\]\[(-6-11.5)/2=-8.75\]

Answer 2

Answer: \[-3\pm \sqrt{33}\]