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2 X 2 − 5 X + 2 = 0 - Mathematics

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Question

`(2)/x^2 - (5)/x + 2` = 0

Sum

Solution

`(2)/x^2 - (5)/x + 2` = 0

⇒ `(2 - 5x + 2x^2)/x^2` = 0
⇒ 2x2 - 5x + 2 = 0
⇒ 2x2 - 4x - x + 2 = 0
⇒ 2x(x - 2) -1(x -2) = 0
⇒ (x - 2)(2x - 1) = 0
⇒ x - 2 = 0 or 2x - 1 = 0

⇒ x = 2 or x = `(1)/(2)` are two root of the equation.

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Chapter 6: Quadratic Equation - Exercise 1

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ICSE Mathematics [English] Class 10
Chapter 6 Quadratic Equation
Exercise 1 | Q 8
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