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Mathematics 23 Online
OpenStudy (anonymous):

X^2+6x-27=0

OpenStudy (anonymous):

3,-9

OpenStudy (jamesj):

Yes, but why? Giving the answer isn't very helpful.

OpenStudy (anonymous):

first you need to factor 27 into two numbers the sum or difference of which makes 6

OpenStudy (anonymous):

I don't understand how to do it

OpenStudy (anonymous):

use quadratic root formula (-b (+-) sqrt(b^2-4*a*c)) / 2a one solution is + sqrt, other solution is - sqrt

OpenStudy (anonymous):

so in this case you would have (-6 + sqrt(36-4*1*(-27)) / 2 and (-6 - sqrt(36-4*1*(-27)) / 2

OpenStudy (anonymous):

you can either use the quadratic formula or do it with factoring. have you studied / done any of these before ?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

has your teacher talked about the quadratic equation or factoring ? not sure which method your teacher wants you to use here.

OpenStudy (anonymous):

You can also tell the type of roots you will get by evaluating the discriminant (the part under the radical): (b^2 - 4*a*c) If discriminant < 0, you will get two complex roots. If discriminant > 0, you will get two real roots. If discriminant = 0, you will get two equal (real) roots

OpenStudy (anonymous):

(and if the discriminant is a perfect square then the two roots are rational numbers)

OpenStudy (anonymous):

???? she says solve for x

OpenStudy (anonymous):

well, you can either use the quadratic formula (as deezil showed above) or (if you are not suppsed to use the quadratic formula) do factoring - which is explained here: http://www.purplemath.com/modules/factquad.htm

OpenStudy (anonymous):

thanks :-)

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