the graph of y=x^2-3x+6 has how many x-intercepts? a. 6 b. 1 c. 2 d. 0
you need to look at the value of the discriminant
do you know what the discriminant is?
no
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
does any of this make sense to you?
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.
okay thank you
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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