Question

3. If (ax^3 + 2)^2 = a^2x^6 + x^3 +4, then find a​

Answer 1

Answer:

If f ( x ) = x3 + ax ? – X – 2 and g ( x ) = ax3 + x2 – 6x – 4 are divided by ( x – 2 ) , the remainder is same .. Let x – 2 = 0 , then x = 2 Now R .

Answer 2

★ Given :

• → If (ax³ + 2)² = a²x^6+ x³ +4, then find a.

★ To Find :

• → Value of a.

★ According to Question :

• → (ax³ + 2)² = a²x^6+ x³ +4
• → a²x^6 + 4 + 4ax³ = a²x^6 + x³ + 4
• → 4ax³ = x³
• → x³ ( 4a - 1 ) = 0

★ So Either x = 0 or 4a - 1 = 0 :

• → 4a - 1 = 0
• → 4a = 1
• → a = 1/4

★ Therefore :

• → The value of a is 1/4

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