Question 1089045: for what value of c does the quadratic function f(x)=x^2-6x+c have directly one x-intercept Found 2 solutions by natolino_2017, MathTherapy:Answer by natolino_2017(77) (Show Source):
You can put this solution on YOUR website! using the Completing square method:
f(x) = (x^2-6x+c) = ((x-3)^2 -3^2 + c = (x-3)^2 +(c-9).
in order to have only one intercept: (c-9) = 0, so c=9.
in this case: the intercept on the x-axis is when x = 3
@natolino_
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