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quadratic simplification of answers

-3x^{2}-10x+12=0

Here is what I'm shown as the solution:

Attachment 26959

What I don't understand is how the last two steps happen. I understand that 10/-6 reduces to -5/3, but not how sqrt(244) is 61? It it that sqrt(244) is sqrt(4*61)?

Thanks.

Re: quadratic simplification of answers

Quote:

Originally Posted by

**gzilnik** -3x^{2}-10x+12=0

Why are you not using the equivalent form?

2 Attachment(s)

Re: quadratic simplification of answers

Alright, even if I do I still arrive at the same issue. The issue I run into is that I don't understand what is happening between here:

Attachment 26963

and here:

Attachment 26964

Re: quadratic simplification of answers

Quote:

Originally Posted by

**gzilnik** Alright, even if I do I still arrive at the same issue. The issue I run into is that I don't understand what is happening between here:

Attachment 26963
and here:

hi there! all what is happening is that root 244 can be simplified to root4 * root61 which is the same as 2*root61 and then the 2 would divide out with 6, just like the 10 and 6 thus resulting Attachment 26964