What are the solutions to the equation 2k^2+7k+6=0 ?

The solutions to the equation 2k^2+7k+6=0 are k=-3/2 ,k=-2

Find the zeros of 2k^2+7k+6=0

The zeros of 2k^2+7k+6=0 are k=-3/2 ,k=-2

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2 k^{2} + 7 k + 6 = 0

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

Decimal Notation

k = - 1.5, k = - 2

Solution steps

2 k^{2} + 7 k + 6 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 2 \cdot 6}{2 \cdot 2}

7^{2} - 4 \cdot 2 \cdot 6 = 1

k_{1, 2} = \frac{- 7 \pm 1}{2 \cdot 2}

Separate the solutions

k_{1} = \frac{- 7 + 1}{2 \cdot 2}, k_{2} = \frac{- 7 - 1}{2 \cdot 2}

k = \frac{- 7 + 1}{2 \cdot 2} : - \frac{3}{2}

k = \frac{- 7 - 1}{2 \cdot 2} : - 2

The solutions to the quadratic equation are:

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

x^{2} + 16 x + 46 = 0

2 x^{2} - 7 x - 4 = 0

2 x^{2} + x - 1 = 0

- x^{2} + x + 56 = 0

6 x^{2} + 5 x - 3 = 0

What are the solutions to the equation 2k^2+7k+6=0 ?
The solutions to the equation 2k^2+7k+6=0 are k=-3/2 ,k=-2
Find the zeros of 2k^2+7k+6=0
The zeros of 2k^2+7k+6=0 are k=-3/2 ,k=-2