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For what values of b, the equation x^2−ax+b=0 has a solution for any value of a? PLEASE I NEED IT SOON!

For what values of b, the equation x^2−ax+b=0 has a solution for any value of a? PLEASE I NEED IT SOON!
asked 106k views
5 votes
For what values of b, the equation x^2−ax+b=0 has a solution for any value of a? PLEASE I NEED IT SOON!

asked
User Artur Kucaj
by
8.1k points

2 Answers

2 votes

If you choose
b=0 the equation becomes


x^2-ax = 0 \iff x(x-a) = 0

which always has solutions
x=0,\ x=a


answered
User Stack
by
8.3k points
0 votes
I’m not sure about the wording of the question, but wouldn’t it be all real numbers?
answered
User Chris March
by
8.5k points
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