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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