What is the sum of the roots of the quadratic equation 13x22

What is the sum of the roots of the quadratic equation: 1/3(x-2)^2-1/2=5/2

Solution

1/3(x-2)^2 - 1/2 = 5/2

(1/3)*(x-2)^2 -1/2 -5/2 = 0                            // subtracted 5/2 from both sides    

(1/3)*(x-2)^2 -6/2 = 0

(1/3)*(x-2)^2   - 3 = 0

(x - 2)^2   - 9 = 0                   //    multipied 3 both sides

x2 - 4x + 4 - 9 = 0

x2 - 4x - 5 = 0

quadratic equation = ax2 + bx + c = 0

sum of roots = -b / a

here b = -4    and   a = 1

sum of roots = -(-4)/1

sum of roots = 4/1

sum of roots = 4

What is the sum of the roots of the quadratic equation: 1/3(x-2)^2-1/2=5/2Solution1/3(x-2)^2 - 1/2 = 5/2 (1/3)*(x-2)^2 -1/2 -5/2 = 0 // subtracted 5/2 from both

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