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

Problem

x2−12*x+36=0

Solution

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

a=1

b=−12

c=36

2. State the quadratic formula.

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*(1)*(36)))/(2*(1))

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

x=(12±√(,144−144))/2

x=(12±√(,0))/2

5. Solve for x by simplifying the remaining fraction.

x=(12±0)/2

x=12/2

x=6

Final Answer

x=6

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