Find the value of a and b if 5 + √6 / 5 - √6 = a + b √6
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Answered by
93
(5+√6)/(5-√6)= a+b√6
(5+√6)(5+√6)/(5-√6)(5+√6) = a+b√6
(5+√6)^2/(5)^2-(√6)^2 = a+b√6
(25+6+10√6)/(25-6) = a+b√6
(31+10√6)/19 = a+b√6
31/19 +10√6/19 = a+b√6
a = 31/19 and b = 10/19
(5+√6)(5+√6)/(5-√6)(5+√6) = a+b√6
(5+√6)^2/(5)^2-(√6)^2 = a+b√6
(25+6+10√6)/(25-6) = a+b√6
(31+10√6)/19 = a+b√6
31/19 +10√6/19 = a+b√6
a = 31/19 and b = 10/19
Answered by
40
a=31/19 and b=10/19 is the answer...
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