Thread: Algebra determine possible roots

The equation

ax^2-2*x*sqrt2+c=0 has real constants a and c with a zero discriminant. Determin all roots of the equation

Originally Posted by Godfather

The equation

ax^2-2*x*sqrt2+c=0 has real constants a and c with a zero discriminant. Determin all roots of the equation

Case 1, a=0
Then we have,
-2x*sqrt(2)+c=0
Then,
x=c/(2*sqrt(2))
Is the only solution.

Case 2, a not =0
Then,
x=2*sqrt(2)/2a=sqrt(2)/a
As the only solution.