Answer:
x = 5 ± sqrt(35)
Step-by-step explanation:
X^2 - 10x+ 25 = 35.
Factor the left hand side. This is the difference of squares. a^2 -2ab - b^2 = (a-b)^2 where a = x and b = 5
(x-5) ^2 = 35
Take the square root of each side
sqrt((x-5) ^2) =± sqrt(35)
x-5 = ± sqrt(35)
Add 5 to each side
x-5+5 = 5 ± sqrt(35)
x = 5 ± sqrt(35)
