What are the solutions to the equation 4k^2-31k-8=0 ?

The solutions to the equation 4k^2-31k-8=0 are k=8,k=-1/4

Find the zeros of 4k^2-31k-8=0

The zeros of 4k^2-31k-8=0 are k=8,k=-1/4

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4 k^{2} - 31 k - 8 = 0

k = 8, k = - \frac{1}{4}

Decimal Notation

k = 8, k = - 0.25

Solution steps

4 k^{2} - 31 k - 8 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- ( - 31 ) \pm ( - 31 ) ^{2} - 4 \cdot 4 ( - 8 )}{2 \cdot 4}

(- 31)^{2} - 4 \cdot 4 (- 8) = 33

k_{1, 2} = \frac{- ( - 31 ) \pm 33}{2 \cdot 4}

Separate the solutions

k_{1} = \frac{- ( - 31 ) + 33}{2 \cdot 4}, k_{2} = \frac{- ( - 31 ) - 33}{2 \cdot 4}

k = \frac{- ( - 31 ) + 33}{2 \cdot 4} : 8

k = \frac{- ( - 31 ) - 33}{2 \cdot 4} : - \frac{1}{4}

The solutions to the quadratic equation are:

k = 8, k = - \frac{1}{4}

3 x + 7 \geq - 41

x^{3} - 4 x^{2} - 12 x > 0

(2 x + 5) (x + 2) = 0

x^{2} + 17 x + 49 = 3 x

0 = b^{2} + 11 b + 30

What are the solutions to the equation 4k^2-31k-8=0 ?
The solutions to the equation 4k^2-31k-8=0 are k=8,k=-1/4
Find the zeros of 4k^2-31k-8=0
The zeros of 4k^2-31k-8=0 are k=8,k=-1/4