Question

Simplify the equation. The solve by the quadratic formula.

Answer 1

x(x+6)=-54

Answer 2

x^2+6x=-54
x^2+6x+54=0

-(6)+- square root (6)^2 -4(1)(54)/2(1)

-6+- square root 36-216/2

-6+- square root -180/2

Answer 3

-6+- square root 9*20/2

-6+- 3i square root 20/2

Answer 4

Im stuck there.

Answer 5

Yes there is.. The final answer is -3+-3i square root 5

Answer 6

see yeah theres solution

Answer 7

see D = -180
so
\[x = \frac{ -6 \pm \sqrt{-180} }{ 2 }\]

Answer 8

Yes.

Answer 9

Wow thanks for not helping.

Answer 10

hint:

\[\Large \sqrt{20} = \sqrt{4*5}\]

\[\Large \sqrt{20} = \sqrt{4}*\sqrt{5}\]

\[\Large \sqrt{20} = 2*\sqrt{5}\]

Answer 11

What???

Answer 12

You got to
\[\Large x = \frac{-6 \pm 3i\sqrt{20}}{2}\]

Answer 13

Yes..

Answer 14

the root 20 can be replaced

\[\Large x = \frac{-6 \pm 3i*\sqrt{20}}{2}\]

\[\Large x = \frac{-6 \pm 3i*{\color{red}{\sqrt{20}}}}{2}\]

\[\Large x = \frac{-6 \pm 3i*{\color{red}{2\sqrt{5}}}}{2}\]

Answer 15

then you can factor out 2 from the numerator and cancel the '2's

Answer 16

Then that would leave me with -6+- 3i square root 5

Answer 17

you factor out 2 from the -6 as well

\[\Large x = \frac{-6 \pm 3i*2\sqrt{5}}{2}\]

\[\Large x = \frac{2(-3 \pm 3i\sqrt{5})}{2}\]

Answer 18

Okay.. So I didnt mess up any where.. Thank you @jim_thompson5910

Answer 19

you're welcome

Answer 20

I think you meant to say `-3+- 3i square root 5`

if so then you are correct since the answers are \[\Large x = -3\pm3i\sqrt{5}\]

Answer 21

Yes I did