Solve Using the Quadratic Formula 36x^2-12x+1=0

Problem

36*x2−12*x+1=0

Solution

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

a=36

b=−12

c=1

2. State the quadratic formula used to find the roots of the equation.

x=(−b±√(,b2−4*a*c))/(2*a)

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

x=(−(−12)±√(,(−12)2−4*(36)*(1)))/(2*(36))

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

x=(12±√(,144−144))/72

x=(12±√(,0))/72

5. Calculate the final value for x by simplifying the fraction.

x=12/72

x=1/6

Final Answer

36*x2−12*x+1=0⇒x=1/6

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