Question

find the value of x (a+x)^2/3 + (a-x) ^2/3 = 3(a2-x2) ^1/3​

Answer 1

Answer:

a∈(−∞,−2)∪(0,∞)

Step-by-step explanation:

Correct option is

A

(−∞,−2)U(0,∞)

f

′

(x)=ax

2

+2(a+2)x+(a−1)

f

′′

(x)=2ax+2(a+2)

f(x) will have point of inflection when f

′′

(x)=0

⇒2ax+2(a+2)=0

⇒x=

a

−(a+2)

x<0⇒

a

−(a+2)

<0⇒

a

(a+2)

>0

⇒a∈(−∞,−2)∪(0,∞)

Hence, a∈(−∞,−2)∪(0,∞)