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# Show that the Value of X is 11, When - ICSE Class 10 - Mathematics

#### Question

Show that the value of x is 11, when ("x"^3 + "3x")/(3"x"^2 + 1) = 341/91

#### Solution

("x"^3 + "3x")/(3"x"^2 + 1) = 341/91

⇒  91(x3 + 3x) = 341(3x2 + 1)

⇒  91x3 - 1023x2 + 273x - 341 = O

LHS

91x3 - 1023x2 + 273x - 341

= 91( 11 × 11 × 11) - 1023 (11 × 11) + 273 (11) -341

= (91 × 1331) - (1023 ×  121) + (273 × 11) - 341

= 121121 - 123783 + 3003 - 341

= 0= RHS

LHS = RHS.

Hence x = 11

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#### APPEARS IN

Frank Solution for Frank Class 10 Mathematics Part 2 (2016 to Current)
Chapter 9: Ratio and Proportion
Exercise 9.3 | Q: 15

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Solution Show that the Value of X is 11, When Concept: Ratio and Proportion Example.
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