Solve Using the Quadratic Formula x^2-6x+9=0

Problem

x2−6*x+9=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=−6

c=9

2. Substitute these values into the quadratic formula.

x=(−b±√(,b2−4*a*c))/(2*a)

x=(−(−6)±√(,(−6)2−4*(1)*(9)))/(2*(1))

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

x=(6±√(,36−36))/2

x=(6±√(,0))/2

4. Solve for x by simplifying the remaining fraction.

x=(6±0)/2

x=6/2

x=3

Final Answer

x=3

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