Question

x3 + 30x = -13x2 solve?
​

Answer 1

Answer :

x = 0 , -3 , -10

Solution :

Here ,

The given cubic equation is ;

x³ + 30x = -13x²

The given cubic equation can be rewritten as ;

=> x³ + 13x² + 30x = 0

=> x[x² + 13x + 30] = 0

=> x[x² + 3x + 10x + 30] = 0

=> x[x(x + 3) + 10(x + 3)] = 0

=> x(x + 3)(x + 10) = 0

=> Either x = 0 or x + 3 = 0 or x + 10 = 0

• x = 0

• If x + 3 = 0 , then x = -3

• If x + 10 = 0 , then x = -10

Hence ,

x = 0 , -3 , -10