What are the solutions to the equation 5z^2+32z=-155 ?

The solutions to the equation 5z^2+32z=-155 are z=-16/5+i(sqrt(519))/5 ,z=-16/5-i(sqrt(519))/5

Find the zeros of 5z^2+32z=-155

The zeros of 5z^2+32z=-155 are z=-16/5+i(sqrt(519))/5 ,z=-16/5-i(sqrt(519))/5

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5 z^{2} + 32 z = - 155

z = - \frac{16}{5} + i \frac{519}{5}, z = - \frac{16}{5} - i \frac{519}{5}

Solution steps

5 z^{2} + 32 z = - 155

Move

155

to the left side

5 z^{2} + 32 z + 155 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 32 \pm 3 2 ^{2} - 4 \cdot 5 \cdot 155}{2 \cdot 5}

Simplify

3 2^{2} - 4 \cdot 5 \cdot 155 : 2519 i

z_{1, 2} = \frac{- 32 \pm 2 519 i}{2 \cdot 5}

Separate the solutions

z_{1} = \frac{- 32 + 2 519 i}{2 \cdot 5}, z_{2} = \frac{- 32 - 2 519 i}{2 \cdot 5}

z = \frac{- 32 + 2 519 i}{2 \cdot 5} : - \frac{16}{5} + i \frac{519}{5}

z = \frac{- 32 - 2 519 i}{2 \cdot 5} : - \frac{16}{5} - i \frac{519}{5}

The solutions to the quadratic equation are:

z = - \frac{16}{5} + i \frac{519}{5}, z = - \frac{16}{5} - i \frac{519}{5}

y^{2} - y - 30 = 0

4 r^{2} - 90 = 2 r

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

9 x^{2} + 6 x = - 4

- 6 x^{2} + 24 = 0

What are the solutions to the equation 5z^2+32z=-155 ?
The solutions to the equation 5z^2+32z=-155 are z=-16/5+i(sqrt(519))/5 ,z=-16/5-i(sqrt(519))/5
Find the zeros of 5z^2+32z=-155
The zeros of 5z^2+32z=-155 are z=-16/5+i(sqrt(519))/5 ,z=-16/5-i(sqrt(519))/5