If x-5-4-6- then- 1-x is -5-4-m-71- then m is

x = 5 4√( 6 ) 1 / x #160;= 1 / 5 4√( 6 ) #160; We rationalize the denominator, 1 / x #160;= 1 / 5 4√( 6 ) #160;× 5+4√( 6 ) #160;/ 5 ...

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Integration Using Substitution

If x=5-4√6,...

Question

If $x = 5 - 4 \sqrt{6},$ then:
$\frac{1}{x}$ is $- \frac{5 + 4 \sqrt{m}}{71}$ , then $m$ is

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Solution

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x = 5 - 4 \sqrt{6},

x - \frac{1}{x}

\frac{360}{71} - \frac{280}{71} \sqrt{m}

m

x = 5 - 4 \sqrt{6},

x + \frac{1}{x}

\frac{350}{71} - \frac{288}{71} \sqrt{m}

m

x = 5 - 4 \sqrt{6}

x - \frac{1}{x}

\frac{360}{71} - \frac{280}{71} \sqrt{m}

m

x = 5 - 4 \sqrt{6}

\frac{1}{x}

= - \frac{5 + 4 \sqrt{6}}{m}

x = 5 - 4 \sqrt{6}

x + \frac{1}{x}

\frac{350}{71} - \frac{288}{71} \sqrt{m}

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