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Find the Discriminant 4x^2-4x+1=0

Problem

4*x2−4*x+1=0

Solution

  1. Identify the coefficients a b and c from the quadratic equation in the form a*x2+b*x+c=0

a=4

b=−4

c=1

  1. State the formula for the discriminant D

D=b2−4*a*c

  1. Substitute the values of a b and c into the formula.

D=(−4)2−4*(4)*(1)

  1. Simplify the expression by calculating the square and the product.

D=16−16

  1. Calculate the final value.

D=0

Final Answer

D=0


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