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Mathematics 22 Online
OpenStudy (anonymous):

need some help with quadratics, any help?

OpenStudy (wolf1728):

could you post a quadratic equation?

OpenStudy (anonymous):

using the factor form -(x+3) (x-10) have to get the x-intercepts, the Y, and vertex

OpenStudy (wolf1728):

That negative at the beginning is a bit of a problem

OpenStudy (anonymous):

i know the xs are (-3,o) (10,0) but unsure of other parts

OpenStudy (anonymous):

how so?

OpenStudy (wolf1728):

I'd like to be able to multiply it out

OpenStudy (wolf1728):

You say the x solutions are -3 and 10 but are you taking the leading negative sign into account?

OpenStudy (anonymous):

oh ya.. hmm

OpenStudy (wolf1728):

any suggestions poojal?

OpenStudy (anonymous):

maybe we should try a different problem first?

OpenStudy (wolf1728):

Okay - a problem that has the equation in the usual x^2 + bx + c =0 if at all possible.

OpenStudy (anonymous):

ya, this next one has to be done in complete square form (so says the paper) f(x)= x^2 - 4x +1

OpenStudy (wolf1728):

To complete the square move non-x term to the right Divide equation by coefficient of x^2 get coefficienlt of x, divide by 2, square it and add it to both sides.

OpenStudy (wolf1728):

f(x)= x^2 - 4x +1 x^2 - 4x = -1 (coeffient of x^2 is 1 so) coefficient of x is -4 so -4 divided by 2 is -2 then squared it is +4 x^2 - 4x +4= -5 (x-2)*(x-2) = -5

OpenStudy (anonymous):

and on that part we use the factored form thing to get x^2 -2x -2x +4 right?

OpenStudy (anonymous):

oops forgot to add the =-5

OpenStudy (wolf1728):

No, I thought we carry out the square root x -2 = sq root (+3)

OpenStudy (anonymous):

how we do that?

OpenStudy (wolf1728):

Here's how we did it: To complete the square move non-x term to the right Divide equation by coefficient of x^2 get coefficienlt of x, divide by 2, square it and add it to both sides.

OpenStudy (wolf1728):

f(x)= x^2 - 4x +1 x^2 - 4x = -1 (coeffient of x^2 is 1 so) coefficient of x is -4 so -4 divided by 2 is -2 then squared it is +4 x^2 - 4x +4= 3 (x-2)*(x-2) = 5

OpenStudy (anonymous):

i mean like how we carry out the square root?

OpenStudy (wolf1728):

f(x)= x^2 - 4x +1 x^2 - 4x = -1 (coeffient of x^2 is 1 so) coefficient of x is -4 so -4 divided by 2 is -2 then squared it is +4 x^2 - 4x +4= 3 (x-2)*(x-2) = 3

OpenStudy (wolf1728):

Okay so we take square root of (x-2)*(x-2) which is x-2 and take the sq root of 3 so we have x-2 = sq root (3)

OpenStudy (anonymous):

ok, what would be the next step?

OpenStudy (wolf1728):

x = sqrt (3) + 2 and x = sqrt (3) - 2 Is that okay for the answer or do they want you to use a calculator?

OpenStudy (anonymous):

i can do the calculator, and thats the X-intercepts right?

OpenStudy (anonymous):

and the -5 would be the Y?

OpenStudy (wolf1728):

Yes those are the x - intercepts I think the 'y' is -3

OpenStudy (anonymous):

ok and what would be the vertex??

OpenStudy (wolf1728):

vertex is at X=2 and y=-3 (I got that from my calculator http://www.1728.org/quadratc.htm)

OpenStudy (anonymous):

ok, makes sense

OpenStudy (anonymous):

thank you wolf, think that will be all for now, got to go to the store. see ya around wolf

OpenStudy (wolf1728):

okay - see ya

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