Math, asked by jake5, 1 year ago

express ,x+7/x=6 standard form

Answers

Answered by Aarya1234
0
x+7/x=6
x+7=6x
6x-x-7=0
5x-7=0 is the standard form and x=7/5
Answered by BrainlyConqueror0901
82

Answer:

\huge{\boxed{\boxed{\sf{x=3+\sqrt{2}\:and\:3-\sqrt{2}}}}}

Step-by-step explanation:

\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}

>>We have to write this in standard form:

x +  \frac{ 7 }{x}  = 6 \\  = ) \frac{ {x}^{2} + 7 }{x}  = 6 \\  = ) {x}^{2}  + 7 = 6x \\  = ) {x}^{2}   - 6x  + 7= 0 \\again \\  d =  {b}^{2}  - 4ac \\  = )( { - 6})^{2}  - 4 \times 7 \\  = )36 - 28 \\  = )8 \\ x =  \frac{ - b +  \sqrt{d} }{2a}  \\x  =  \frac{6 + 2 \sqrt{2} }{2}  \\ x =  \frac{2(3 +  \sqrt{2}) }{2}  \\  x = 3 +  \sqrt{2}  \\ similarly \: second  \: conjucate\: value  \: of \: x\\ x = 3 -  \sqrt{2}

\huge{\boxed{\boxed{\sf{x=3+\sqrt{2}\:and\:3-\sqrt{2}}}}}

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