Question

(x-1)^2+3,(x-2)^2+2x,(1/2 x-2)^2+3/4 x^2是x^2-2x+4的三种不同形式的配方求x^2-4x+2三种不同形式的配方

Answer 1

(x-2)^2-4
(2x+根2)^2-(2根2+4)x
(根2x-根2)^2-x^2

Answer 2

x²-4x+2
=x²-4x+4-2
=(x-2)²-1

x²-4x+2
=x²+2√2x+2-4x-2√2x
=(x+√2)²-(4-2√2)x

x²-4x+2
=2x²-4x+2-x²
=2(x-1)²-x²