# Solve the Following Equation: 10x - 1/X = 3 - Mathematics

Sum

Solve the following equation:  10"x" - 1/"x" = 3

#### Solution

10"x" - 1/"x" = 3

10x2 - 1 = 3x

10x2 - 3x - 1 = 0

"x"^2 - 3/10 "x" - 1/10 = 0

"x"^2 + 1/5 "x" - 1/2 "x" - 1/10 = 0

"x" ("x" + 1/5) - 1/2 ("x" + 1/5) = 0

("x" + 1/5)("x" - 1/2) = 0

("x" + 1/5) = 0 , ("x" - 1/2) = 0

x = -1/5 , x = 1/2

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#### APPEARS IN

Frank ICSE Class 10 Mathematics Part 2