Question

Solve the equation x³-3x²+4 = 0 , two of its root being equal

Answer 1

Step-by-step explanation:

Let the roots of the equation x

3

−3x

2

+4=0 are a,a,b.

as 0 does not satisfy the given equation) then form (2) we get,

a+2b=0

or, b=−

2

a=1

.

Using this value of b in equation (1)

−

2

3a

=−3

or, a=2.

Then b=−1.

So the roots are 2,2,−1.