Pertanyaan

Jika 2 1 + 5 1 2 1 − 5 1 = a + b 5 , maka 2a - 3b =...

Jika $\frac{\frac{1}{2} - \frac{1}{5}}{\frac{1}{2} + \frac{1}{5}} = a + b 5$ , maka 2a - 3b =...

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Rasionalkan penyebutnya: Maka diperoleh a = 9 dan b = -4. Jadi :

Rasionalkan penyebutnya:

$a plus b square root of 5 equals fraction numerator 1 half minus fraction numerator 1 over denominator square root of 5 end fraction over denominator 1 half plus fraction numerator 1 over denominator square root of 5 end fraction end fraction a plus b square root of 5 equals fraction numerator fraction numerator square root of 5 minus 2 over denominator 2 square root of 5 end fraction over denominator fraction numerator square root of 5 plus 2 over denominator 2 square root of 5 end fraction end fraction a plus b square root of 5 equals fraction numerator square root of 5 minus 2 over denominator square root of 5 plus 2 end fraction a plus b square root of 5 equals fraction numerator square root of 5 minus 2 over denominator square root of 5 plus 2 end fraction cross times fraction numerator square root of 5 minus 2 over denominator square root of 5 minus 2 end fraction a plus b square root of 5 equals fraction numerator 5 minus 4 square root of 5 plus 4 over denominator 5 minus 4 end fraction a plus b square root of 5 equals 9 minus 4 square root of 5$

Maka diperoleh a = 9 dan b = -4. Jadi :