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Solve the Following Equation : X2 - 4sqrt 2 X + 6 = 0 - Mathematics

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Question

Solve the following equation : `"x"^2 - 4 sqrt 2 "x" + 6 = 0 `

Sum

Solution

`"x"^2 - 4 sqrt 2 "x" + 6 = 0 `

`"x"^2 - sqrt 2 "x" - 3 sqrt 2 "x" + 6 = 0 `

`"x"("x" - sqrt 2) - 3 sqrt 2 ("x" - sqrt 2) = 0`

`("x" - sqrt 2)("x" - 3 sqrt 2) = 0`

`("x" - sqrt 2) = 0 , ("x" - 3 sqrt 2) = 0`

x = `sqrt 2` , x = `3 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 19
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