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Solve the Following Equation: 10x - 1/X = 3 - Mathematics

Sum

Solve the following equation:  `10"x" - 1/"x" = 3`

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Solution

`10"x" - 1/"x" = 3`

10x2 - 1 = 3x 


10x2 - 3x - 1 = 0 


`"x"^2 - 3/10 "x" - 1/10 = 0`


`"x"^2 + 1/5 "x" - 1/2 "x" - 1/10 = 0`


`"x" ("x" + 1/5) - 1/2 ("x" + 1/5) = 0`


`("x" + 1/5)("x" - 1/2) = 0`


`("x" + 1/5) = 0` , `("x" - 1/2) = 0`


x = `-1/5` , `x = 1/2`

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 6 Quadratic Equations
Exercise 6.1 | Q 10
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