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Solve the Following Equation: A2x2 - 3abx + 2b2 = 0 - Mathematics

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Question

Solve the following equation: a2x2 - 3abx + 2b2 = 0 

Sum

Solution

a2x2 - 3abx + 2b2 = 0 


`"x"^2 - 3  "b"/"a"  "x" + 2 ("b"/"a")^2 = 0`


`"x"^2 -  "b"/"a" "x" - 2  "b" / "a" "x" + 2 ("b"/"a")^2 = 0`


`"x"("x" - "b"/"a") -  2  "b" / "a" ("x" -  "b"/"a") = 0`



`("x" - "b"/"a") ("x"  - 2  "b"/"a") = 0`


`("x" - "b"/"a") = 0` , `("x"  -  2  "b"/"a") = 0`


x = `"b"/"a"` ,  x = `2  "b" / "a"`

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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 13
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