Question Below mate:
Where does the graph of \[y = 2x^{2} + 7x + 3\] cross the x-axis? I know this but I forgot it, need a refresher!
"WILL FAN AND MEDAL!!!" xD
Just for that ^ I'm ignoring this :3
:( *sobs* ok....
LOL Just kidding :)
ahaha
I know ;)
Cross the x-axis when y = 0 So... \[\large 0 = 2x^2 + 7x + 3\]
set y=0
Gotcha...
u do it
So which method do we use here?
Using whatever method feels comfortable for you :)
u need to get to 100 LOL
Factor. 0 = (2x + 1)(x + 3)
Ah ok factoring is better for me to understand.
Or you could just use the quadratic formula if you're feeling patient :D \[\Large x = \frac{-\color{blue}b\pm \sqrt{\color{blue}b^2 - 4\color{red}a\color{green}c}}{2\color{red}a}\]
Yes I think I will, I got confused just now D: One sec..
\[\frac{ -7 \pm \sqrt7^{2} - 4 (2) (3) }{ 2(2) }\]
Right?
Oops that square root got cut off xD
\[\frac{ -7 \pm \sqrt{7^{2} - 4 (2) (3)} }{ 2(2) }\]
Simplify? :D
Ok so it's right, good ok so here I go: \[\frac{ -7 \pm \sqrt{49 - 24} }{ 4 }\]
Yup :) Continue... I'm watching you >:)
\[\frac{ -7 \pm \sqrt{25} }{ 4 }\] *Gulps* Oh Noez.. RUNNNN :D
You're certainly one to take things step by step :/ \[\large \sqrt{25}=\color{red}?\]
\[\frac{ -7 + 5 }{ 4 }\] \[\frac{ -7 - 5 }{ 4 }\]
Yes I do xD but when it's in my head I do diferently.
Okay... these aren't quite done yet :D
\[\frac{ -2 }{ 4 }\] \[\frac{ -12 }{ 4 }\]
The suspense... it's killing...something :D Finish it up, mate :)
\[x = -0.5\] \[x = -3\]
LOL will do ;)
Jawohl :D Just pointing out that these agree with the factored forms... \[0 = (2x+1)(x + 3)\] Implying 0 = 2x + 1 or 0 = x + 3 Would've saved you a few minutes if you'd just factored :D
Well I could of done the very minimal amount of quadratic equation but I like to do it thoroughly :3
Well, good job, anyway ^_^
Thanks :D btw how did you get the factored version of this, that's why I was confused :/
You did quite wonderfully yourself sir ;)
Join our real-time social learning platform and learn together with your friends!