What are the solutions to the equation 5k^2=60-20k ?

The solutions to the equation 5k^2=60-20k are k=2,k=-6

Find the zeros of 5k^2=60-20k

The zeros of 5k^2=60-20k are k=2,k=-6

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5 k^{2} = 60 - 20 k

k = 2, k = - 6

Solution steps

5 k^{2} = 60 - 20 k

Move

20 k

to the left side

5 k^{2} + 20 k = 60

Move

60

to the left side

5 k^{2} + 20 k - 60 = 0

Solve with the quadratic formula

k_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 \cdot 5 ( - 60 )}{2 \cdot 5}

2 0^{2} - 4 \cdot 5 (- 60) = 40

k_{1, 2} = \frac{- 20 \pm 40}{2 \cdot 5}

Separate the solutions

k_{1} = \frac{- 20 + 40}{2 \cdot 5}, k_{2} = \frac{- 20 - 40}{2 \cdot 5}

k = \frac{- 20 + 40}{2 \cdot 5} : 2

k = \frac{- 20 - 40}{2 \cdot 5} : - 6

The solutions to the quadratic equation are:

k = 2, k = - 6

x^{2} - 12 x = - 23

- 90 = - 100 + x

- (x - 2) (x - 4) = 0

5 x + 4 = 0

What are the solutions to the equation 5k^2=60-20k ?
The solutions to the equation 5k^2=60-20k are k=2,k=-6
Find the zeros of 5k^2=60-20k
The zeros of 5k^2=60-20k are k=2,k=-6