What are the solutions to the equation 8n^2-16n+66=-2 ?

The solutions to the equation 8n^2-16n+66=-2 are n=1+isqrt(15/2),n=1-isqrt(15/2)

Find the zeros of 8n^2-16n+66=-2

The zeros of 8n^2-16n+66=-2 are n=1+isqrt(15/2),n=1-isqrt(15/2)

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8 n^{2} - 16 n + 66 = - 2

n = 1 + i \frac{15}{2}, n = 1 - i \frac{15}{2}

Solution steps

8 n^{2} - 16 n + 66 = - 2

Move

2

to the left side

8 n^{2} - 16 n + 68 = 0

Solve with the quadratic formula

n_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 8 \cdot 68}{2 \cdot 8}

Simplify

(- 16)^{2} - 4 \cdot 8 \cdot 68 : 830 i

n_{1, 2} = \frac{- ( - 16 ) \pm 8 30 i}{2 \cdot 8}

Separate the solutions

n_{1} = \frac{- ( - 16 ) + 8 30 i}{2 \cdot 8}, n_{2} = \frac{- ( - 16 ) - 8 30 i}{2 \cdot 8}

n = \frac{- ( - 16 ) + 8 30 i}{2 \cdot 8} : 1 + i \frac{15}{2}

n = \frac{- ( - 16 ) - 8 30 i}{2 \cdot 8} : 1 - i \frac{15}{2}

The solutions to the quadratic equation are:

n = 1 + i \frac{15}{2}, n = 1 - i \frac{15}{2}

5 = x^{2} + 1

7 r^{2} - 14 r = - 7

(2 x + 3) (x + 4) = 228

3 (4 x^{2} - 1) + 6 (- 2 x + 3) = - 7

5 x^{2} - 2 x - 35 = 0

What are the solutions to the equation 8n^2-16n+66=-2 ?
The solutions to the equation 8n^2-16n+66=-2 are n=1+isqrt(15/2),n=1-isqrt(15/2)
Find the zeros of 8n^2-16n+66=-2
The zeros of 8n^2-16n+66=-2 are n=1+isqrt(15/2),n=1-isqrt(15/2)