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Verified answer
2x² + 6x - 1 = 0a = 2
b = 6
c = -1
x1 + x2
= -b/a
= -6/2
= -3
x1.x2
= c/a
= -1/2
Nilai x1² + x2²
= (x1 + x2)² - 2x1.x2
= -3² - 2 (-1/2)
= 9 + 1
= 10
Verified answer
Mapel : MatematikaKelas : X SMA
Bab : Persamaan Kuadrat
Pembahasan :
2x² + 6x - 1 = 0
Berdasarkan Teorema Vietta
X1 + X2 = -b/a
X1 + X2 = -6/2
X1 + X2 = -3
X1 . X2 = c/a
X1 . X2 = -1/2
Maka...
X1² + X2²
= (X1 + X2)² - 2(X1 . X2)
= (-3)² - 2(-1/2)
= 9 + 1
= 10