Question

need help one more time on solving quadratic equation

Answer 1

ok

Answer 2

\[y ^{2}=-24y+144\] and so far I have \[-3 + or -\sqrt{57}\over -12\]

Answer 3

I'm sure it's supposed to simplify from there but not sure exactly how. Or if this will give me 2 non real answers, or 2 real ones

Answer 4

3 and 19 make 57

Answer 5

\[-24\pm \sqrt{b ^{}}\]

Answer 6

I got 0 under radical so -24+ -0/2

Answer 7

-12

Answer 8

ok, so -24 + and - -12 are the non real answers?

Answer 9

wait! I just realized I typed the wrong problem..

Answer 10

I used +144 not -144 sorry my oversight

Answer 11

Sorryy, can you guys wait a sec while I put the right one up here

Answer 12

Mary, when you're solving these, be sure to get them in the form

\[ax^2 + bx + c = 0\] before plugging into the quadratic equation

Answer 13

\[-6^{2}+3x+2=0\]

Answer 14

So what is a, b, and c?

Answer 15

b is 3 and c is 2

Answer 16

I'm guessing that first term should be \(-6x^2\)

Answer 17

so a is?

Answer 18

oh yeah, sorry i thought you just asked about b and c

Answer 19

a is -6

Answer 20

Ok, now what do you get when you plug them in?

Answer 21

the formula we have been going off of is a bit different than that. But I had gotten -3 + and - root 57 over -12

Answer 22

\[x=\frac{-3 \pm \sqrt{9-4(-6)(2)}}{2(-6)}\]
\[x = \frac{-3 \pm \sqrt{9+48}}{-12}\]
\[x = \frac{3 \pm \sqrt{57}}{12}\]

Answer 23

81 under radical bc of double neg so you add

Answer 24

sorry ya'll numbers all wrong I will leave

Answer 25

don't forget -3

Answer 26

ok so I had the right answer, except it's positive 3, not negative?

Answer 27

are they real or non real solutions?

Answer 28

You can simplify a bit further, but it's not gonna be a whole number or even a rational one.

\[x = \frac{3 \pm \sqrt{57}}{12}\]
\[x = \frac{3}{12} \pm \frac{\sqrt{57}}{12}\]
\[x = \frac{1}{4} \pm \frac{\sqrt{57}}{12}\]

Answer 29

They are real solutions. You only get non-real solutions when the thing under the square root is negative.

Answer 30

As for the -3, if you factor a -1 from the top and bottom you can cancel to get a positive 3 on top and a 12 on bottom. So it's going to be positive. It doesn't matter much though because one of your x will be positive and one is negative.

Answer 31

Your answer was also correct, but could be simplified a little bit.

Answer 32

ok, thanks!

Answer 33

because the - was common to both the numerator and denominator.