Question 983692


x^2-6x+8=0

x^2-6x = -8

x^2-6x+9= +9-8

(x-3)^2= 1

take the square root

(x-3) = +/-1

x=4 OR 2

t^2=4-3t

t^2+3t =4

Third term = ((1/2) the co-efficient of second term)^2

t^2+3t + 9/4 = 4+9/4

(t+  3/2)^2= 25/4

t+ 3/2 = +/- 5/2

t = -3/2  + 4/2  OR -3/2 -5/2

t= 1/2  OR -4