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Solve the Following Equation: X2 - ( ../2 + I)X + J2 = 0 - Mathematics

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Question

Solve the following equation:  `"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `

Sum

Solution

`"x"^2 - ( sqrt 2 + 1) "x" + sqrt 2 = 0 `

`"x"^2 - "x" - sqrt 2 "x" + sqrt 2 = 0`

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

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

(x - 1) = 0 , `(x - sqrt 2)` = 0

x = 1 , x = `sqrt 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 14
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