Question

solve the quadratic equation by using the definition of square root and write the solution in radical form.

Answer 1

\[6y ^{2}=72\]

Answer 2

Divide by 6 and take the square root.

Answer 3

i'm stuck at 6y=\[\sqrt{12}\] does it turn into 1 +/- square(2)?

Answer 4

You should get \[y^2=12\] when you divide both sides by 6.

Answer 5

ohhh oops, yep yep.

Answer 6

there are 2 answers though .

Answer 7

Yes. So then take the square root of both sides....\[y=\pm \sqrt{12}\] Take note of the +/-

Answer 8

right. ok thanks!

Answer 9

And then either leave it that way or reduce. You're welcome. :)

Answer 10

ohh i wonder if it will need to be reduced.. ?

Answer 11

it says to simplify the solution

Answer 12

So yes \[y=\pm \sqrt{4x3}\] where x means to multiply. Then the square root of 4 is 2 so we can bring that outside the square root symbol. Thus \[y=\pm2\sqrt{3}\]