Solve Using the Quadratic Formula b^2-4b+4=0

Problem

b2−4*b+4=0

Solution

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

a=1

b=−4

c=4

2. Substitute these values into the quadratic formula.

b=(−(−4)±√(,(−4)2−4*(1)*(4)))/(2*(1))

3. Simplify the expression inside the square root, which is the discriminant.

(−4)2−4*(1)*(4)=16−16

16−16=0

4. Calculate the value of b using the simplified discriminant.

b=(4±√(,0))/2

b=4/2

5. Divide to find the final solution.

b=2

Final Answer

b=2

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