What are the solutions to the equation 2k^3+9k^2+13k+6=0 ?

The solutions to the equation 2k^3+9k^2+13k+6=0 are k=-1,k=-3/2 ,k=-2

Find the zeros of 2k^3+9k^2+13k+6=0

The zeros of 2k^3+9k^2+13k+6=0 are k=-1,k=-3/2 ,k=-2

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2 k^{3} + 9 k^{2} + 13 k + 6 = 0

k = - 1, k = - \frac{3}{2}, k = - 2

Decimal Notation

k = - 1, k = - 1.5, k = - 2

Solution steps

2 k^{3} + 9 k^{2} + 13 k + 6 = 0

Factor

2 k^{3} + 9 k^{2} + 13 k + 6 : (k + 1) (2 k + 3) (k + 2)

(k + 1) (2 k + 3) (k + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

k + 1 = 0 or 2 k + 3 = 0 or k + 2 = 0

Solve

k + 1 = 0 : k = - 1

Solve

2 k + 3 = 0 : k = - \frac{3}{2}

Solve

k + 2 = 0 : k = - 2

The solutions are

k = - 1, k = - \frac{3}{2}, k = - 2

4 x^{3} + x^{2} + x - 48 = 0

7 y^{3} - 34 y^{2} - 5 y = 0

2 k^{3} - 3 k + 1 = 0

7 (7 x^{2})^{2} = 4 (7 x^{2}) + 1

x, x^{5} = y^{- 4}

What are the solutions to the equation 2k^3+9k^2+13k+6=0 ?
The solutions to the equation 2k^3+9k^2+13k+6=0 are k=-1,k=-3/2 ,k=-2
Find the zeros of 2k^3+9k^2+13k+6=0
The zeros of 2k^3+9k^2+13k+6=0 are k=-1,k=-3/2 ,k=-2