What are the solutions to the equation 2x^2+10x+17=0 ?

The solutions to the equation 2x^2+10x+17=0 are x=-5/2+i 3/2 ,x=-5/2-i 3/2

Find the zeros of 2x^2+10x+17=0

The zeros of 2x^2+10x+17=0 are x=-5/2+i 3/2 ,x=-5/2-i 3/2

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2 x^{2} + 10 x + 17 = 0

x = - \frac{5}{2} + i \frac{3}{2}, x = - \frac{5}{2} - i \frac{3}{2}

Solution steps

2 x^{2} + 10 x + 17 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 2 \cdot 17}{2 \cdot 2}

Simplify

1 0^{2} - 4 \cdot 2 \cdot 17 : 6 i

x_{1, 2} = \frac{- 10 \pm 6 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 10 + 6 i}{2 \cdot 2}, x_{2} = \frac{- 10 - 6 i}{2 \cdot 2}

x = \frac{- 10 + 6 i}{2 \cdot 2} : - \frac{5}{2} + i \frac{3}{2}

x = \frac{- 10 - 6 i}{2 \cdot 2} : - \frac{5}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

x = - \frac{5}{2} + i \frac{3}{2}, x = - \frac{5}{2} - i \frac{3}{2}

- x^{2} + 2 x = 1

18 - 2 x^{2} = - 28

x, x^{2} - 4 x + 3 = 0

- 2 x^{2} + 6 x - 7 = 0

x^{2} - 6 x + 8

What are the solutions to the equation 2x^2+10x+17=0 ?
The solutions to the equation 2x^2+10x+17=0 are x=-5/2+i 3/2 ,x=-5/2-i 3/2
Find the zeros of 2x^2+10x+17=0
The zeros of 2x^2+10x+17=0 are x=-5/2+i 3/2 ,x=-5/2-i 3/2