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Solve the Following Equation: 2/X2 - 5/X + 2 = 0 - Mathematics

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Question

Solve the following equation:  c

Sum

Solution

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

2 - 5x + 2x2 = 0

2x2 - 5x+ 2= 0  


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


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


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


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


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


x = 2 , x = `1/2`

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Chapter 6: Quadratic Equations - Exercise 6.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 6 Quadratic Equations
Exercise 6.1 | Q 11
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