Math, asked by namratasinghn86, 9 months ago

X is equals to 7 + 4 root 3 then find the value of x minus one upon x.
Guy's please answer me this question immediately. ​

Answers

Answered by jainishpjain
1

x  = 7 + 4 \sqrt{3}  \\ x -  \frac{1}{x} \\  = 7 + 4 \sqrt{3}  -  \frac{1}{7 + 4 \sqrt{3} }  \\  =   \frac{{(7 + 4 \sqrt{3}) }^{2}  - 1}{7 + 4 \sqrt{3} }  \\  =  \frac{49 + 48 + 56 \sqrt{3} - 1 }{7 + 4 \sqrt{3} }  \\  =  \frac{96 + 56 \sqrt{3} }{7 + 4 \sqrt{3} }  \\  =  \frac{96 + 56 \sqrt{3} }{7 + 4 \sqrt{3} }  \times  \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} }  \\  =  \frac{(96 + 56 \sqrt{3})(7 - 4 \sqrt{3} ) }{49 - 48}  \\  = (96 + 56 \sqrt{3} )( 7- 4 \sqrt{3} )

HOPE THIS ANSWER HELPS PLZ MARK AS BRAINLIEST.

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