Underated U
06 Februari 2023 02:33
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Underated U
06 Februari 2023 02:33
Pertanyaan
Tolong penjelasan dan jawabannya kak
Tolong penjelasan dan jawabannya kak
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W. Lestari
Mahasiswa/Alumni Universitas Sriwijaya
06 Februari 2023 03:09
<p>Jawaban : E. x<sup>2</sup> - x - 6</p><p> </p><p>Ingat kembali:</p><ul><li>a<sup>-n </sup>= 1/a<sup>n</sup></li><li>a<sup>n</sup> = a x a x a x .... (sebanyak n)</li><li>x<sup>2</sup> + bx + c = 0 --> (x + m)(x + n) = 0</li></ul><p>dengan,</p><p>m + n = b</p><p>m . n = c</p><p> </p><p>Maka:</p><p>[1/(x + 2)]<sup>-2</sup> . [(x + 2)/(x - 3)]<sup>3</sup> . [(x<sup>2</sup> - 5x + 6)/(x<sup>2</sup> - 4)]<sup>4</sup></p><p>= (x + 2)<sup>2</sup> . [((x + 2)(x + 2)(x + 2)) / ((x - 3)(x - 3)(x - 3))] . [((x - 2)(x - 3)) / ((x - 2)(x + 2))]<sup>4</sup></p><p>= [(x + 2)(x + 2)] . [((x + 2)(x + 2)(x + 2)) / ((x - 3)(x - 3)(x - 3))] . [((x - 2)(x - 3)(x - 2)(x - 3)(x - 2)(x - 3)(x - 2)(x - 3)) / ((x - 2)(x + 2)(x - 2)(x + 2)(x - 2)(x + 2)(x - 2)(x + 2))]</p><p>= (x + 2)(x - 3)</p><p>= x<sup>2</sup> - 3x + 2x - 6</p><p>= x<sup>2</sup> - x - 6</p><p> </p><p>Jadi, jawaban yang benar adalah E.</p>
Jawaban : E. x2 - x - 6
Ingat kembali:
- a-n = 1/an
- an = a x a x a x .... (sebanyak n)
- x2 + bx + c = 0 --> (x + m)(x + n) = 0
dengan,
m + n = b
m . n = c
Maka:
[1/(x + 2)]-2 . [(x + 2)/(x - 3)]3 . [(x2 - 5x + 6)/(x2 - 4)]4
= (x + 2)2 . [((x + 2)(x + 2)(x + 2)) / ((x - 3)(x - 3)(x - 3))] . [((x - 2)(x - 3)) / ((x - 2)(x + 2))]4
= [(x + 2)(x + 2)] . [((x + 2)(x + 2)(x + 2)) / ((x - 3)(x - 3)(x - 3))] . [((x - 2)(x - 3)(x - 2)(x - 3)(x - 2)(x - 3)(x - 2)(x - 3)) / ((x - 2)(x + 2)(x - 2)(x + 2)(x - 2)(x + 2)(x - 2)(x + 2))]
= (x + 2)(x - 3)
= x2 - 3x + 2x - 6
= x2 - x - 6
Jadi, jawaban yang benar adalah E.
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Rani D
06 Februari 2023 03:07
(1/x+2)².(x+2/x-3)³.(x²-5x+6/x²-4)⁴ = (X+2)².(x+2/x-3)³.((x-2)(x-3)/(x-2)(x+2)⁴ =(X+2)².(x+2/x-3)³. (X-3/x+2)⁴ =(X+2)².(x+2/x-3)³.(x+2/x-3)^-4 =(X+2)².(x+2/x-3)^-1 =(X+2)².(x-3/x+2) =(X+2).(x-3) =X²-x-6
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