What are the solutions to the equation 6k^2+13k=8 ?

The solutions to the equation 6k^2+13k=8 are k= 1/2 ,k=-8/3

Find the zeros of 6k^2+13k=8

The zeros of 6k^2+13k=8 are k= 1/2 ,k=-8/3

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6 k^{2} + 13 k = 8

k = \frac{1}{2}, k = - \frac{8}{3}

Decimal Notation

k = 0.5, k = - 2.66666 \dots

Solution steps

6 k^{2} + 13 k = 8

Move

8

to the left side

6 k^{2} + 13 k - 8 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 6 ( - 8 )}{2 \cdot 6}

1 3^{2} - 4 \cdot 6 (- 8) = 19

k_{1, 2} = \frac{- 13 \pm 19}{2 \cdot 6}

Separate the solutions

k_{1} = \frac{- 13 + 19}{2 \cdot 6}, k_{2} = \frac{- 13 - 19}{2 \cdot 6}

k = \frac{- 13 + 19}{2 \cdot 6} : \frac{1}{2}

k = \frac{- 13 - 19}{2 \cdot 6} : - \frac{8}{3}

The solutions to the quadratic equation are:

k = \frac{1}{2}, k = - \frac{8}{3}

\frac{1}{x ^{2} - 16}

0.25 x^{3} + x^{2} - 3.1 x - 4.4 = 0.5 ∣ x ∣ - 2.7

\frac{- 11 - 14 i}{- 7 + 10 i}

- \frac{9}{2 x ^{\frac{3}{2}}}

m^{2} - 18 m - 19

What are the solutions to the equation 6k^2+13k=8 ?
The solutions to the equation 6k^2+13k=8 are k= 1/2 ,k=-8/3
Find the zeros of 6k^2+13k=8
The zeros of 6k^2+13k=8 are k= 1/2 ,k=-8/3