SOLUTION: The equation {{{ x^2-10x+k=0 }}} has only one solution for x. What is the value of k?

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Question 1046436: The equation +x%5E2-10x%2Bk=0+ has only one solution for x. What is the value of k?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+x%5E2-10x%2Bk=0+
Find the discriminant b%5E2+-+4ac+,
%28-10%29%5E2+-+4%2A1%2Ak+
100+-+4k+
if the discriminant 100+-+4k=0+ there will be 1 solution, solve for k
100+=4k
k=100%2F4
k=25

check: +x%5E2-10x%2B25=0+
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-10x%2B25%29+

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
By definition, all quadratics have 2 solutions.
Sometimes the 2 are equal.