Jawaban:
x² + x + 1 = 0
Penjelasan dengan langkah-langkah:
Titik A(0, 1). B(1, 3). C(2, 7)
y= ax² + bx + c
A(0, 1) 1 = c
B(1, 3). 3 = a + b + c (i)
C(2, 7). 7 = 4a + 2b + c (ii)
3 = a + b + 1. (i) X2
6 = 2a + 2b + 2
7 = 4a + 2b + 1 (ii)
_________________ - eliminasi b
-1 = -2a + 1
2a = 2
a = 1
subtitusi nilai a dan c
3 = a + b + c (i)
3 = 1 + b + 1
b = 1
subtitusi nilai a , b dan c
y= x² + x + 1
atau
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Jawaban:
x² + x + 1 = 0
Penjelasan dengan langkah-langkah:
Titik A(0, 1). B(1, 3). C(2, 7)
y= ax² + bx + c
A(0, 1) 1 = c
B(1, 3). 3 = a + b + c (i)
C(2, 7). 7 = 4a + 2b + c (ii)
3 = a + b + 1. (i) X2
6 = 2a + 2b + 2
7 = 4a + 2b + 1 (ii)
_________________ - eliminasi b
-1 = -2a + 1
2a = 2
a = 1
subtitusi nilai a dan c
3 = a + b + c (i)
3 = 1 + b + 1
b = 1
subtitusi nilai a , b dan c
y= ax² + bx + c
y= x² + x + 1
atau
x² + x + 1 = 0