SOLUTION: If the relation y=mx^2+12x+9 has only one x-intercept, what is the value of m?

Question 704715: If the relation y=mx^2+12x+9 has only one x-intercept, what is the value of m?

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Relies on knowledge of the discriminant.

In general form, ax^2+bx+c=0, the discriminant is b^2-4ac. If b^2-4ac=0, then the function has exactly one intercept with the x axis. Your example discriminant is 12^2-4*m*19=0, therefore... m=36/19.

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