Question

Buatlah 3 contoh soal persamaan kuadrat sempurna dan beri jawaban beserta caranya

Answer 1

1. x²-4x-12
x²-4x=12
(x-2)²=12
x²-4x+4=12+4
√(x-2)²=√16
x-2=+-4

x1
x-2=4
x=6
x2
x-2=-4
x=-2

2. x²-2x+1=0
x²-2x=-1
(x-1)²=-1
(x-1)²=-1+1
√(x-1)²=0
x-1=0
x1,x2=1

3. x²-6x-16=0
x²-6x=16
(x-3)²=16
x-3)²=16+9
√(x-3)²=√25
x-3=+-5

x1
x-3=5
x=8

x2
x-3=-5
x=-2