Question

PLEASE HELP! Use the quadratic formula to solve 3x^2 – 4x – 1 = 0. If necessary, round answers to the nearest hundredth.

Answer 1

i think the answer is 1.55, -0.22

Answer 2

The equation \(\Large 3x^2 – 4x – 1 = 0 \) is in the form \(\Large ax^2+bx+c = 0\) where a = 3, b = -4 and c = -1


Plug this into the quadratic formula and simplify to solve for x.


\[\Large x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}\]


\[\Large x=\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^{2}-4\left(3\right)\left(-1\right)}}{2\left(3\right)}\]


\[\Large x=\frac{4\pm\sqrt{16-\left(-12\right)}}{6}\]


\[\Large x=\frac{4\pm\sqrt{16+12}}{6}\]


\[\Large x=\frac{4\pm\sqrt{28}}{6}\]


\[\Large x=\frac{4+\sqrt{28}}{6}\ \text{or} \ x=\frac{4-\sqrt{28}}{6}\]


\[\Large x=\frac{4+2\sqrt{7}}{6}\ \text{or} \ x=\frac{4-2\sqrt{7}}{6}\]


\[\Large x \approx 1.55\ \text{or} \ x \approx -0.22\]

So you are absolutely correct. Nice work.

Answer 3

thank you

Answer 4

sure thin

Answer 5

thing*

Answer 6

thank u so much i got an a!!!

Answer 7

you're very welcome

Answer 8

I didn't do much this time around since you already got the answers lol

Answer 9

its ook thank you thank you thank you i have taken this over and over again and i only just finally passed it was 40 questions and i could only miss 4

Answer 10

oh wow, that's a steep requirement

Answer 11

haha my school is stupid

Answer 12

lol sounds like it

Answer 13

but I'm glad you finally made it

Answer 14

thank you now i can go to bed talk to you later!

Answer 15

have a great night's sleep, cya later