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Mathematics 14 Online
OpenStudy (anonymous):

Quadratic formulas anybody???? PLEASE!!

OpenStudy (anonymous):

@vishweshshrimali5

OpenStudy (vishweshshrimali5):

\[\large{x = \cfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}\] For: \[\large{ax^2+bx + c = 0}\] This is the general quadratic formula

OpenStudy (anonymous):

were you trolling on the last post , i am serious

OpenStudy (anonymous):

trolling?

OpenStudy (vishweshshrimali5):

There are some important identities as well: 1. \(\large{(x+y)^2 = x^2 + 2xy + y^2}\) 2. \(\large{(x-y)^2 = x^2 - 2xy + y^2}\) 3. \(\large{(x+y+z)^2 = x^2 + y^2 + z^2 + 2(xy + yz + xz)}\) and some more

OpenStudy (vishweshshrimali5):

Any particular formula you are looking for ?

OpenStudy (anonymous):

\[3^{2}+5x+1=0\]

OpenStudy (anonymous):

i dont know how to work through it

OpenStudy (vishweshshrimali5):

Is this the question: \[\large{3x^2 + 5x + 1 = 0}\]

OpenStudy (anonymous):

yes

OpenStudy (vishweshshrimali5):

Good Then you can use this formula directly: \(\color{blue}{\text{Originally Posted by}}\) @vishweshshrimali5 \[\large{x = \cfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}\] For: \[\large{ax^2+bx + c = 0}\] This is the general quadratic formula \(\color{blue}{\text{End of Quote}}\)

OpenStudy (anonymous):

ok

OpenStudy (vishweshshrimali5):

So, can you compare both equations and find out a, b and c ?

OpenStudy (anonymous):

isnt it just one whole equation tho??

OpenStudy (vishweshshrimali5):

No I meant compare the following equations: \[\large{ax^2 + bx + c = 0}\] \[\large{3x^2 + 5x + 1 = 0}\] What are a, b and c ?

OpenStudy (anonymous):

where do i find b and ac???

OpenStudy (anonymous):

ohh ok now i get it

OpenStudy (vishweshshrimali5):

Good :)

OpenStudy (anonymous):

wait so is the answer \[x-3x ^{2}\pm \sqrt{5x ^{2}}-4x ^{2}1\]

OpenStudy (anonymous):

\[2x\]

OpenStudy (vishweshshrimali5):

Why ?

OpenStudy (anonymous):

idk i just tryed... ;(

OpenStudy (vishweshshrimali5):

Its okay.. First tell me what are a,b and c ?

OpenStudy (anonymous):

a=3 b=5 c=1

OpenStudy (vishweshshrimali5):

Great !

OpenStudy (vishweshshrimali5):

So now lets plug in the values in this equation: \(\color{blue}{\text{Originally Posted by}}\) @vishweshshrimali5 \[\large{x = \cfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}\] \(\color{blue}{\text{End of Quote}}\)

OpenStudy (vishweshshrimali5):

What will we get ?

OpenStudy (anonymous):

\[-5\pm \sqrt{5^{2}}-4*3*1 \over 2*3\]

OpenStudy (vishweshshrimali5):

It is this : \[\large{\cfrac{-5 \pm \sqrt{5^2 - 4*3*1}}{2*3}}\] Correct ? See the square root covers the whole \(\large{b^2 - 4ac}\)

OpenStudy (anonymous):

\[-5\pm \sqrt{13} \over 6 \]

OpenStudy (anonymous):

yayi got it right!!!

OpenStudy (vishweshshrimali5):

Great !

OpenStudy (anonymous):

yup it was hard tho...

OpenStudy (vishweshshrimali5):

But good to see that you got it !! Great going :)

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