volledige vkv oplossen via kwadraatsafsplitsing

Question 1

wanneer wordt kwadraatafsplitsing gebruikt?

Answer 1

wanneer a = 1 of wanneer je kan vereenvoudigen naar 0 = 1

Question 2

x2 - 4x + 4 = 0

Answer 2

x2 - 2 x 2x + 4 =0
(x-2)2 = 0
x-2 = √ 0
x = 0 + 2
x = 2
V = { }

Question 3

x2 + 8x +7 = 0

Answer 3

x2 + 2 x 4x + 16+ 7 = 16
(x+4)2 = 16 - 7
(x+4)2 = 9
x+4 = √ 9
x+4 = 3 of x+4 = -3 -> x= -7
x = -1 
OPLOSSINGVERZAMELING

Question 3

x2 + 8x +7 = 0

Answer 3

x2 + 2 x 4x + 16+ 7 = 16
(x+4)2 = 16 - 7
(x+4)2 = 9
x+4 = √ 9
x+4 = 3 of x+4 = -3 -> x= -7
x = -1 
OPLOSSINGVERZAMELING