Solve Using the Quadratic Formula 16x^2-8x+1=0

Problem

16*x2−8*x+1=0

Solution

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

a=16

b=−8

c=1

2. Apply the quadratic formula to find the values of x

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−(−8)±√(,(−8)2−4*(16)*(1)))/(2*(16))

4. Simplify the expression inside the square root (the discriminant).

x=(8±√(,64−64))/32

5. Evaluate the square root and simplify the fraction.

x=(8±√(,0))/32

x=8/32

6. Reduce the fraction to its simplest form.

x=1/4

Final Answer

x=1/4

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