Find all values of y that satisfy the equation y3+1=y+3y.
y/3 + 1 = (y + 3)/y
==> (y + 3)/3 = (y + 3)/y
==> y = 3
The only solution is y = 3.
ita not 3. it says You're right that 3 satisfies the equation. But are there any other values of y
y3+1=y+3y
y2+3y=3(y+3) (multiply both sides by 3y)
y2+3y=3y+9 (distribute right side)
y2=9 (subtract both sides by 3y)
y=3,y=−3 (final answer)