What are the solutions to the equation 4k(k+14)=14 ?

The solutions to the equation 4k(k+14)=14 are k=(-14+sqrt(210))/2 ,k=-(14+sqrt(210))/2

Find the zeros of 4k(k+14)=14

The zeros of 4k(k+14)=14 are k=(-14+sqrt(210))/2 ,k=-(14+sqrt(210))/2

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4 k (k + 14) = 14

k = \frac{- 14 + 210}{2}, k = - \frac{14 + 210}{2}

Decimal Notation

k = 0.24568 \dots, k = - 14.24568 \dots

Solution steps

4 k (k + 14) = 14

Expand

4 k (k + 14) : 4 k^{2} + 56 k

4 k^{2} + 56 k = 14

Move

14

to the left side

4 k^{2} + 56 k - 14 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- 56 \pm 5 6 ^{2} - 4 \cdot 4 ( - 14 )}{2 \cdot 4}

5 6^{2} - 4 \cdot 4 (- 14) = 4210

k_{1, 2} = \frac{- 56 \pm 4 210}{2 \cdot 4}

Separate the solutions

k_{1} = \frac{- 56 + 4 210}{2 \cdot 4}, k_{2} = \frac{- 56 - 4 210}{2 \cdot 4}

k = \frac{- 56 + 4 210}{2 \cdot 4} : \frac{- 14 + 210}{2}

k = \frac{- 56 - 4 210}{2 \cdot 4} : - \frac{14 + 210}{2}

The solutions to the quadratic equation are:

k = \frac{- 14 + 210}{2}, k = - \frac{14 + 210}{2}

50 - x^{2} = 0

5 x^{2} - 16 x - 253 = 4 x + 7

x (5 x - 6) = 11

x^{2} + 15 = - 16 x

8 x^{2} + 16 = 0

What are the solutions to the equation 4k(k+14)=14 ?
The solutions to the equation 4k(k+14)=14 are k=(-14+sqrt(210))/2 ,k=-(14+sqrt(210))/2
Find the zeros of 4k(k+14)=14
The zeros of 4k(k+14)=14 are k=(-14+sqrt(210))/2 ,k=-(14+sqrt(210))/2