Question

If 

x2 + xy + y3 = 1,

 find the value of 

y'''

 at the point where 

x = 1.

​

Answer 1

y=0

Explanation:

Let's solve your equation step-by-step.

x+xy+y3=1

x=1

1+1y+y3=1

y3+y+1=1

Step 1: Subtract 1 from both sides.

y3+y+1−1=1−1

y3+y=0

Step 2: Factor left side of equation.

y(y2+1)=0

Step 3: Set factors equal to 0.

y=0 or y2+1=0

y=0

Answer 2

-1

Explanation:

replace x with 1

1^1 +1×y +y^3 = 1 ➡ y + y^3 = 0 ➡ y = -1