Algebraic Identities Practice Question of 10 January 2022

Question of The Day10-01-2022

If x⁴ + 16 = 8x², then find the value of x⁶ – 6x³.

Answer

Correct Answer : a ) 16

Explanation :

According to the question

x⁴ + 16 = 8x²

⇒ x⁴ - 8x² + 16 = 0

⇒ (x²)² – 2 * x² * 4 + 4² = 0

⇒ (x² - 4)² = 0

⇒ x² = 4

⇒ x = ±2

Take x = 2

x⁶– 6x³

Substitute the value of x

⇒ (2)⁶ – 6(2)³

⇒ 64 – 48

⇒ 16

Hence, (a) is the correct answer.

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