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Solve the Following Equation: 7x + 3/X = 35 3/5 - Mathematics

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Question

Solve the following equation: `7"x" + 3/"x" = 35  3/5`

Sum

Solution

`7"x" + 3/"x" = 35  3/5`

`7"x"^2 + 3 = 178/5  "x"`

`7"x"^2 - 178/5 "x" + 3 = 0`

`"x"^2 - 178/35 "x" + 3/7 = 0`

`"x"^2 - 5"x" - 3/35 "x" + 3/7 = 0`

`"x"("x" - 5) - 3/35 ("x" - 5) = 0`

`("x" - 5)("x" - 3/35) = 0`

x = 5 , x = `3/35`

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Chapter 6: Quadratic Equations - Exercise 6.1

APPEARS IN

Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 6 Quadratic Equations
Exercise 6.1 | Q 28
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