Pertanyaan

Jika diketahui 2 1 + 5 1 2 1 − 5 1 = a + b 5 maka a+b= ...

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

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

$fraction numerator begin display style 1 half minus fraction numerator 1 over denominator square root of 5 end fraction end style over denominator begin display style 1 half plus fraction numerator 1 over denominator square root of 5 end fraction end style end fraction equals fraction numerator begin display style fraction numerator square root of 5 minus 2 over denominator 2 square root of 5 end fraction end style over denominator begin display style fraction numerator square root of 5 plus 2 over denominator 2 square root of 5 end fraction end style end fraction equals fraction numerator square root of 5 minus 2 over denominator square root of 5 plus 2 end fraction. fraction numerator square root of 5 minus 2 over denominator square root of 5 minus 2 end fraction equals fraction numerator 5 minus 2 square root of 5 minus 2 square root of 5 plus 4 over denominator 5 minus 4 end fraction equals fraction numerator 9 minus 4 square root of 5 over denominator 1 end fraction equals 9 minus 4 square root of 5 9 minus 4 square root of 5 equals a plus b square root of 5 M a k a space a space equals space 9 space d a n space b space equals space minus 4 a space plus space b space equals space 9 space plus space left parenthesis space minus 4 right parenthesis space equals space 5$