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Solve X^2 - 11/4 X + 15/8 = 0 - Mathematics

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Question

Solve `x^2 - 11/4 x + 15/8 = 0`

Sum

Solution

`x^2 - 11/4 x + 15/8 = 0`

`=> (8x^2 - 22x + 15)/8  = 0`

`=> 8x^2 - 22x + 15 = 0`

`=> 8x^2 - 12x - 10x + 15 = 0`

`=> 4x(2x - 3) - 5(2x - 3) = 0`

`=> (2x - 3)(4x - 5) = 0`

`=> 2x - 3 =0 or 4x - 5 = 0`

`=> x = 3/2 or x = 5/4`

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Chapter 5: Quadratic Equations - Exercise 5 (E) [Page 66]

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Selina Mathematics [English] Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (E) | Q 4 | Page 66
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