What are the solutions to the equation 3k^2+17k=-10 ?

The solutions to the equation 3k^2+17k=-10 are k=-2/3 ,k=-5

Find the zeros of 3k^2+17k=-10

The zeros of 3k^2+17k=-10 are k=-2/3 ,k=-5

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3 k^{2} + 17 k = - 10

k = - \frac{2}{3}, k = - 5

Decimal Notation

k = - 0.66666 \dots, k = - 5

Solution steps

3 k^{2} + 17 k = - 10

Move

10

to the left side

3 k^{2} + 17 k + 10 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- 17 \pm 1 7 ^{2} - 4 \cdot 3 \cdot 10}{2 \cdot 3}

1 7^{2} - 4 \cdot 3 \cdot 10 = 13

k_{1, 2} = \frac{- 17 \pm 13}{2 \cdot 3}

Separate the solutions

k_{1} = \frac{- 17 + 13}{2 \cdot 3}, k_{2} = \frac{- 17 - 13}{2 \cdot 3}

k = \frac{- 17 + 13}{2 \cdot 3} : - \frac{2}{3}

k = \frac{- 17 - 13}{2 \cdot 3} : - 5

The solutions to the quadratic equation are:

k = - \frac{2}{3}, k = - 5

f = 2 \cdot 1^{3}

[x - 4] + 3 > 8

5 x + 14 < 40 - 8 x

2 b^{4} + 14 b^{3} - 16 b

2 x^{2} - 2 x - 12 = 0

What are the solutions to the equation 3k^2+17k=-10 ?
The solutions to the equation 3k^2+17k=-10 are k=-2/3 ,k=-5
Find the zeros of 3k^2+17k=-10
The zeros of 3k^2+17k=-10 are k=-2/3 ,k=-5