What are the solutions to the equation 5n^2=15-8n ?

The solutions to the equation 5n^2=15-8n are n=(-4+sqrt(91))/5 ,n=-(4+sqrt(91))/5

Find the zeros of 5n^2=15-8n

The zeros of 5n^2=15-8n are n=(-4+sqrt(91))/5 ,n=-(4+sqrt(91))/5

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5 n^{2} = 15 - 8 n

n = \frac{- 4 + 91}{5}, n = - \frac{4 + 91}{5}

Solution steps

5 n^{2} = 15 - 8 n

Move

8 n

to the left side

5 n^{2} + 8 n = 15

Move

15

to the left side

5 n^{2} + 8 n - 15 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 5 ( - 15 )}{2 \cdot 5}

8^{2} - 4 \cdot 5 (- 15) = 291

n_{1, 2} = \frac{- 8 \pm 2 91}{2 \cdot 5}

Separate the solutions

n_{1} = \frac{- 8 + 2 91}{2 \cdot 5}, n_{2} = \frac{- 8 - 2 91}{2 \cdot 5}

n = \frac{- 8 + 2 91}{2 \cdot 5} : \frac{- 4 + 91}{5}

n = \frac{- 8 - 2 91}{2 \cdot 5} : - \frac{4 + 91}{5}

The solutions to the quadratic equation are:

n = \frac{- 4 + 91}{5}, n = - \frac{4 + 91}{5}

x^{2} + 8 x^{2} + 16 = 0

v^{2} + v - 6 = 0

3 x^{2} - 5 x + 2 = 4 - 6 x

(4 y + 10) (y - 3 y) = 5

x^{2} + 8 x - 4 = 0

What are the solutions to the equation 5n^2=15-8n ?
The solutions to the equation 5n^2=15-8n are n=(-4+sqrt(91))/5 ,n=-(4+sqrt(91))/5
Find the zeros of 5n^2=15-8n
The zeros of 5n^2=15-8n are n=(-4+sqrt(91))/5 ,n=-(4+sqrt(91))/5