What are the solutions to the equation 5z^2+2z+10=0 ?

The solutions to the equation 5z^2+2z+10=0 are z=-1/5+i 7/5 ,z=-1/5-i 7/5

Find the zeros of 5z^2+2z+10=0

The zeros of 5z^2+2z+10=0 are z=-1/5+i 7/5 ,z=-1/5-i 7/5

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5 z^{2} + 2 z + 10 = 0

z = - \frac{1}{5} + i \frac{7}{5}, z = - \frac{1}{5} - i \frac{7}{5}

Solution steps

5 z^{2} + 2 z + 10 = 0

Solve with the quadratic formula

z_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 5 \cdot 10}{2 \cdot 5}

Simplify

2^{2} - 4 \cdot 5 \cdot 10 : 14 i

z_{1, 2} = \frac{- 2 \pm 14 i}{2 \cdot 5}

Separate the solutions

z_{1} = \frac{- 2 + 14 i}{2 \cdot 5}, z_{2} = \frac{- 2 - 14 i}{2 \cdot 5}

z = \frac{- 2 + 14 i}{2 \cdot 5} : - \frac{1}{5} + i \frac{7}{5}

z = \frac{- 2 - 14 i}{2 \cdot 5} : - \frac{1}{5} - i \frac{7}{5}

The solutions to the quadratic equation are:

z = - \frac{1}{5} + i \frac{7}{5}, z = - \frac{1}{5} - i \frac{7}{5}

3 x - 9 x^{2} = - 10

5 x + 8 = 6 x

- 8 ∣ - x - 6 ∣ + 10 = 2

w^{5} + 2 \geq - 1

8 x^{2} - 6 x - 2

What are the solutions to the equation 5z^2+2z+10=0 ?
The solutions to the equation 5z^2+2z+10=0 are z=-1/5+i 7/5 ,z=-1/5-i 7/5
Find the zeros of 5z^2+2z+10=0
The zeros of 5z^2+2z+10=0 are z=-1/5+i 7/5 ,z=-1/5-i 7/5