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

Problem

x2−6*x=−9

Solution

1. Rearrange the equation into standard form a*x2+b*x+c=0 by adding 9 to both sides.

x2−6*x+9=0

2. Identify the coefficients a b and c for the quadratic formula.

a=1

b=−6

c=9

3. Apply the quadratic formula x=(−b±√(,b2−4*a*c))/(2*a) by substituting the identified values.

x=(−(−6)±√(,(−6)2−4*(1)*(9)))/(2*(1))

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

x=(6±√(,36−36))/2

x=(6±√(,0))/2

5. Solve for x by simplifying the remaining fraction.

x=6/2

x=3

Final Answer

x=3

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