SOLUTION: for what value of c does the quadratic function f(x)=x^2-6x+c have directly one x-intercept

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_

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

for what value of c does the quadratic function f(x)=x^2-6x+c have directly one x-intercept

There will be ONE ROOT/ZERO if the DISCRIMINANT:
Substitute - 6 for b, 1 for a, and c for c to get a value of:
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