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Solve the Following : - Mathematics

Sum

Solve the following : `("x" - 1/2)^2 = 4`

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Solution

`("x" - 1/2)^2 = 4`


`"x"^2 - "x" + 1/4 = 4`


`"x"^2 - "x" - 15/4 = 0`


`"x"^2 + 3/2 "x" - 5/2 "x" - 15/4 = 0`


`"x" ("x" + 3/2) - 5/2 ("x" + 3/2) = 0`


`("x" + 3/2)("x" - 5/2) = 0`


x = `-3/2` , x = `5/2`

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APPEARS IN

Frank ICSE Class 10 Mathematics Part 2
Chapter 6 Quadratic Equations
Exercise 6.1 | Q 18
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