Question

( X-2)^2 = 5

como resolver?

Answer 1

(x-2)²=5
-2x²=5
-4x=5 (-1)
4x= -5
x= -5/4

Answer 2

( x - 5 ) 2 = 5
x2 - 10x + 25 = 5
x2 - 10x + 20 = 0
∆ = 100 - 80
∆ = 20

X1 = ( 10 + 2√5 ) / 2
X1 = 2( 5 + √5 ) / 2
X1 = 5 + √5

X2 = ( 10 - 2√5 ) / 2
X2 = 2 ( 5 - √5 ) / 2
X2 = 5 - √5