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

The solutions to the equation 8n=n^2 are n=8,n=0

Find the zeros of 8n=n^2

The zeros of 8n=n^2 are n=8,n=0

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8 n = n^{2}

n = 8, n = 0

Solution steps

8 n = n^{2}

Switch sides

n^{2} = 8 n

Move

8 n

to the left side

n^{2} - 8 n = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 8)^{2} - 4 \cdot 1 \cdot 0 = 8

n_{1, 2} = \frac{- ( - 8 ) \pm 8}{2 \cdot 1}

Separate the solutions

n_{1} = \frac{- ( - 8 ) + 8}{2 \cdot 1}, n_{2} = \frac{- ( - 8 ) - 8}{2 \cdot 1}

n = \frac{- ( - 8 ) + 8}{2 \cdot 1} : 8

n = \frac{- ( - 8 ) - 8}{2 \cdot 1} : 0

The solutions to the quadratic equation are:

n = 8, n = 0

3 m = m - 10

3 x^{2} = 4 x - 15

3 x^{2} - 243 = 0

(x + 2)^{3} (x - 1) \geq 0

u^{2} = 16

What are the solutions to the equation 8n=n^2 ?
The solutions to the equation 8n=n^2 are n=8,n=0
Find the zeros of 8n=n^2
The zeros of 8n=n^2 are n=8,n=0