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Step-by-step explanation:
Quadratic equation
The discriminant is the part of the quadratic formula within the square root symbol: . The discriminant indicates if there are two solutions, one solution, or none.
The discriminant can be positive, zero or negative which determines how roots exist for the given quadratic equation.
So, a positive discriminant tell us that the quadratic has two different real solutions.
A discriminant of zero tell us that the quadratic has two real and equal solutions.
And a negative discriminant tell us that none of the solutions are real numbers.
In this case: 25x^2-10x+1=0
We can see that
a= 25 b=-10 c=1
Using:
We have
the answer is zero, so the quadratic has two real and equal solutions