Find the value of x for the given equation (x – 3)3 = (2x – 4)2

1.	Find the value of x for the given equation (x – 3)3 = (2x – 4)2 – 13x2 + x3.1. 12. 23. 34. 4
Answer» Correct Answer - Option 1 : 1 Formula Used: (a – b)³ = a³ – b³ – 3a²b + 3ab² (a – b)² = a² + b² – 2ab Calculation: (x – 3)3 = (2x – 4)2 – 13x2 + x3 ⇒ x³ – 27 – 9x² + 27x = 4x² + 16 – 16x – 13x²+ x³ ⇒ x³ – 27 – 9x² + 27x = -9x² + x³ + 16 – 16x ⇒ -27 + 27x = 16 –16x ⇒ 43x = 43 ∴ x = 1 The correct option is 1 i.e. 1

Find the value of x for the given equation (x – 3)3 = (2x – 4)2 – 13x2 + x3.1. 12. 23. 34. 4

Answer» Correct Answer - Option 1 : 1

Formula Used:

(a – b)³ = a³ – b³ – 3a²b + 3ab²

(a – b)² = a² + b² – 2ab

Calculation:

(x – 3)3 = (2x – 4)2 – 13x2 + x3

⇒ x³ – 27 – 9x² + 27x = 4x² + 16 – 16x – 13x²+ x³

⇒ x³ – 27 – 9x² + 27x = -9x² + x³ + 16 – 16x

⇒ -27 + 27x = 16 –16x

⇒ 43x = 43

∴ x = 1

The correct option is 1 i.e. 1

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Find the value of x for the given equation (x – 3)3 = (2x – 4)2 – 13x2 + x3.1. 12. 23. 34. 4

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