SOLUTION: How many zeros are there for any quadratic function whose discriminant is zero?

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Question 1031237: How many zeros are there for any quadratic function whose discriminant is zero?
Found 2 solutions by josgarithmetic, robertb:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
How would the discriminant be zero?
%28x-r%29%5E2=0
How many zeros?



%28x-r%29%5E2=0
x%5E2-2rx%2Br%5E2=0

x=%282r%2B-+sqrt%28%28-2r%29%5E2-4%2A1%2Ar%5E2%29%29%2F2
Within that solution is the discriminant, sqrt%284r%5E2-4r%5E2%29=0, which came from starting the equation as perfect square equated to zero. The equation has EXACTLY ONE solution.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
For quadratic functions with real coefficients, if its discriminant is 0, then there will still be two real zeros of identical values. (Remember, a quadratic function will always have two roots, or zeros, regardless of the nature of the coefficients. It just so happened that the zeros are of the same value.)