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Mathematics 53 Online
OpenStudy (anonymous):

the graph of y=x^2-3x+6 has how many x-intercepts? a. 6 b. 1 c. 2 d. 0

OpenStudy (asnaseer):

you need to look at the value of the discriminant

OpenStudy (asnaseer):

do you know what the discriminant is?

OpenStudy (anonymous):

no

OpenStudy (asnaseer):

firstly, you get the x intercepts when y=0. so it is asking if there are any real solutions to:\[x^2-3x+6=0\]A general quadratic equation has the form:\[ax^2+bx+c=0\]it's discriminant is defined as:\[b^2-4ac\]if the discriminant is greater than zero than you have 2 distinct real solutions if the discriminant is zero then you have two identical real solutions if the discriminant is negative then you have complexsolutions

OpenStudy (asnaseer):

does any of this make sense to you?

OpenStudy (asnaseer):

if not, then I suggest you take a look at this to first familiarise yourself with these concepts: http://www.mathsisfun.com/algebra/quadratic-equation.html and then come back to this question.

OpenStudy (anonymous):

okay thank you

OpenStudy (asnaseer):

yw :) let me know if you are still stuck after you have tried looking at the details on that site and I will try my best to help you.

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