Question

find p and q if $\\ \dfrac{7 + \sqrt{5} }{7 - \sqrt{5} } - \dfrac{7 - \sqrt{5} }{7 + \sqrt{5} } = p - 7\sqrt{5} q$​

Answer 1

Answer:

rational numbers p and q if 7 + √(5)7 - √(5) - 7 - √(5)7 + √(5) = p - 7√(5) q

7 + √(5)7 - √(5) × 7 + √(5)7 + √(5) - 7 - √(5)7 + √(5) × 7 - √(5)7 - √(5) 49 + 25 + 14√(5)44 - ( 49 + 25 - 14√(5))44 = 14√(5)+14√(5)44

Answer 2

Answer:

$\huge\tt\green{❥}\tt\pink{s}\tt\blue{o}\tt\pink{l}\tt\purple{u}\tt\orange{t}\tt\orange{ion}\huge\tt\purple{꧂{}}$

$7−57+5×7+57+5−7+57−5×7−57−5$

$=44145+145=442×145=11715$

$4449+25+145−44(49+25−145)$

$p−75q=1175$

$p=0,q=11−$