What are the solutions to the equation x^2+3x+10=0 ?

The solutions to the equation x^2+3x+10=0 are x=-3/2+i(sqrt(31))/2 ,x=-3/2-i(sqrt(31))/2

Find the zeros of x^2+3x+10=0

The zeros of x^2+3x+10=0 are x=-3/2+i(sqrt(31))/2 ,x=-3/2-i(sqrt(31))/2

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x^{2} + 3 x + 10 = 0

x = - \frac{3}{2} + i \frac{31}{2}, x = - \frac{3}{2} - i \frac{31}{2}

Solution steps

x^{2} + 3 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 10}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 10 : 31 i

x_{1, 2} = \frac{- 3 \pm 31 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 31 i}{2 \cdot 1}, x_{2} = \frac{- 3 - 31 i}{2 \cdot 1}

x = \frac{- 3 + 31 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{31}{2}

x = \frac{- 3 - 31 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{31}{2}

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{31}{2}, x = - \frac{3}{2} - i \frac{31}{2}

12 x^{2} + 36 x + 27

10000 = \frac{n}{2} (- 12 + (n - 1) 7)

3 y^{2} + 15 y = 0

4 q + 5 \geq 6 q - 7

2 x^{2} + 6 x^{3} + 5 x^{7} + 15 x^{8}

What are the solutions to the equation x^2+3x+10=0 ?
The solutions to the equation x^2+3x+10=0 are x=-3/2+i(sqrt(31))/2 ,x=-3/2-i(sqrt(31))/2
Find the zeros of x^2+3x+10=0
The zeros of x^2+3x+10=0 are x=-3/2+i(sqrt(31))/2 ,x=-3/2-i(sqrt(31))/2