Pertanyaan

Diketahui x 1 dan x 2 adalah akar − akar persamaan kuadrat x 2 + 2 x + 6 = 0. Nilai dari x 1 2 + x 2 2 − x 1 x 2 = ....

$Diketahui x_{1} dan x_{2} adalah akar - akar persamaan kuadrat x^{2} + 2 x + 6 = 0. Nilai dari x_{1}^{2} + x_{2}^{2} - x_{1} x_{2} = ....$

-14
-6
-2
6
10

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$Persamaan space kuadrat space ax squared plus bx plus straight c equals 0 space yang space memiliki space akar space straight x subscript 1 dan space straight x subscript 2 comma space maka x subscript 1 plus x subscript 2 equals fraction numerator negative b over denominator a end fraction x subscript 1 x subscript 2 equals c over a Persamaan space kuadrat space straight x squared plus 2 straight x plus 6 equals 0 space maka space colon x subscript 1 plus x subscript 2 equals fraction numerator negative 2 over denominator 1 end fraction equals negative 2 x subscript 1 x subscript 2 equals 6 over 1 equals 6 maka space x subscript 1 superscript 2 plus x subscript 2 superscript 2 minus x subscript 1 x subscript 2 space equals space open square brackets open parentheses x subscript 1 plus x subscript 2 close parentheses squared minus 2 x subscript 1 x subscript 2 close square brackets minus x subscript 1 x subscript 2 space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses x subscript 1 plus x subscript 2 close parentheses squared minus 3 x subscript 1 x subscript 2 space space space space space space space space space space space space space space space space space space space space space space space space space equals open parentheses negative 2 close parentheses squared minus 3 left parenthesis 6 right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space equals 4 minus 18 space space space space space space space space space space space space space space space space space space space space space space space space space equals negative 14$