Question

2x2 + 12x + 3 = 0

Answer 1

is that 1) essential?

Answer 2

i got \[-12\pm \sqrt{(12)^2-4(2)(3)} \div 2(2)\]

Answer 3

no sorry

Answer 4

yes it's right so far

Answer 5

\[-12\pm \sqrt{120}\div4\]

Answer 6

mmhm

Answer 7

no im stuck!

Answer 8

you need to simplify 120

here's a hint

\[\sqrt{120} \implies \sqrt{4 \times 30}\]

Answer 9

can you see the simplified form now?

Answer 10

or do you need more hints?

Answer 11

-12\[-12\pm6\sqrt{30}\]

Answer 12

over 2

Answer 13

how did you get 6\(\sqrt {30}\)?

Answer 14

oh im not sure

Answer 15

i know the bottom is 2

Answer 16

so if i take 12 from 2 would be 6

Answer 17

i think its \[-6-\sqrt{30}\div2\],-6+\[-6+\sqrt{30}\div2\]

Answer 18

Start from the square root again. Six was the wrong number. Re-examine what's inside the sign. \[\sqrt{4 \times 30}\]
you can also view this as
\[\sqrt{(2\times2)\times(2\times3\times5)}\]
How many pairs can you pull out of the sign here?

Answer 19

one 2

Answer 20

So you have \[2\sqrt{30}\]

Answer 21

Can you continue?

Answer 22

no