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
