Solve the equation x^(3)-3x-a=0 for diff...

Solve the equation `x^(3)-3x-a=0` for different values of `a`

Verified by Experts

We have `x^(3)-3x-a=0impliesx^(3)-3x=a`
Let `f(x)=x^(3)-3x` and `g(x)=a `
`:'f'(x)=0`
`implies3x^(2)-3=0`
`impliesx=-1,1` ltbr `f''(x)=6x`

Similar Questions

Explore conceptually related problems

Solve the equation 2x^(2)+5x-12=0

Solve the equation x^(2)-5|x|+6=0

Solve the equation 2x^(2)+ 5x-12=0

Solve the equation 5^(x^(2)+3x+2)=1

Solve the equation (a-3)x+5=a+2 .

Solve the equation 3^(x-4)+5^(x-4)=34

Solve the following equation: x^(2)+3=0

Solve the following equation: x^(2)-x+1=0

Solve the equation 5^(2x)+24.5^(x)-25=0 .