Question

一元二次方程的题目1）解方程x^2-4X+4=3/42）用配方法解方程x^2-6x-6=0,移项得______方程两边都

Answer 1

解

x²-4x+4=3/4

(x-2)²=3/4

∴x-2=±√3/2

∴x=2+√3/2

或x=2-√3/2

x²-6x-6=0

x²-6x=6

x²-6x+9=15

(x-3)²=15

x-3=±√15

∴x=3+√15或x=3-√15

∴用配方法解方程x^2-6x-6=0,移项得_x²-6x=6__方程两边都加上__9___,得_x²-6x+9=15_____,化为_（x-3)²=15____,解得x1=_3+√15___,x2=___3-√15___