Solve the Following : - Mathematics

Sum

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

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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Frank ICSE Class 10 Mathematics Part 2