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Physics 16 Online
pooja195 (pooja195):

@mathmate

pooja195 (pooja195):

@mathmate

OpenStudy (mathmate):

Finally, got here!

OpenStudy (mathmate):

Start with quadratic equations, ok?

pooja195 (pooja195):

ok :)

OpenStudy (mathmate):

Solve \(x^2 -6x +9=0\)

pooja195 (pooja195):

a=1 b=-6 c=9

OpenStudy (mathmate):

ok.

pooja195 (pooja195):

\[\huge~x=\frac{ -(-6)\pm \sqrt{(-6)^2-4(1)(9)} }{ 2(1) } \]

OpenStudy (mathmate):

Great, now can you simplify that, because it will be greatly simplified when you put the numbers in there.

pooja195 (pooja195):

\[\huge~x=\frac{ 6\pm \sqrt{0} }{ 2}\]

pooja195 (pooja195):

\[\huge~\frac{ 6 }{ 2 }=3~~~~~x=3\]

OpenStudy (mathmate):

Yes, that is the same as {3,3}, or 3 (twice)

OpenStudy (mathmate):

It's called a double root, andthe graph looks like this:|dw:1433211976391:dw| the vertex just touches the x-axis.

OpenStudy (mathmate):

ok so far?

pooja195 (pooja195):

ye

OpenStudy (mathmate):

If you factored, you would have got (x-3)^2=0, which is the same as saying (x-3)=0, or x=3 (twice), or x={3,3}

OpenStudy (mathmate):

Was wondering you still have the online textbook?

OpenStudy (mathmate):

Can you dig some questions out of there, which will be more like what you have learned.

pooja195 (pooja195):

T_T but there are answers ,_,

OpenStudy (mathmate):

You don't have to look at them, in any case, we are looking at the work, can check the answers at the end.

OpenStudy (mathmate):

There may be word problems, which take more time to make. Using ready-made problems can help us do more.

pooja195 (pooja195):

OpenStudy (mathmate):

Have you done anything like this? "A picture has a height that is 4/3 its width. It is to be enlarged to have an area of 192 square inches. What will be the dimensions of the enlargement?"

pooja195 (pooja195):

:/

pooja195 (pooja195):

no O_O

OpenStudy (mathmate):

Always the numerical equations, and nothing like word problems?

pooja195 (pooja195):

no ._.

OpenStudy (mathmate):

ok, so we can skip that.

pooja195 (pooja195):

:)

OpenStudy (mathmate):

Whenever you solve quadratics, there are three ways to do it. If the teacher does not specify, you can use any method you want. If he/she specifies completing the square, you have no choice. the three are:

OpenStudy (mathmate):

quad formula (just did) factoring (did over the weekend) completing the square Do youknow how to do the last one?

pooja195 (pooja195):

no :/ we havent learned it

OpenStudy (mathmate):

ok, so we skip that too. Anything else you'd like to do on quadratic equations/

pooja195 (pooja195):

Nope.

OpenStudy (mathmate):

So we will move onto system of linear equations. Have you done word problems?

pooja195 (pooja195):

yes but dont like those :/

OpenStudy (mathmate):

How many ways do you know to solve system of linear equations?

pooja195 (pooja195):

Elmination Substituion :/

OpenStudy (mathmate):

comparison?

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