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

The solutions to the equation 2x^2+5x+10=0 are x=-5/4+i(sqrt(55))/4 ,x=-5/4-i(sqrt(55))/4

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

The zeros of 2x^2+5x+10=0 are x=-5/4+i(sqrt(55))/4 ,x=-5/4-i(sqrt(55))/4

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

x = - \frac{5}{4} + i \frac{55}{4}, x = - \frac{5}{4} - i \frac{55}{4}

Solution steps

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

Solve with the quadratic formula

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

Simplify

5^{2} - 4 \cdot 2 \cdot 10 : 55 i

x_{1, 2} = \frac{- 5 \pm 55 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 5 + 55 i}{2 \cdot 2}, x_{2} = \frac{- 5 - 55 i}{2 \cdot 2}

x = \frac{- 5 + 55 i}{2 \cdot 2} : - \frac{5}{4} + i \frac{55}{4}

x = \frac{- 5 - 55 i}{2 \cdot 2} : - \frac{5}{4} - i \frac{55}{4}

The solutions to the quadratic equation are:

x = - \frac{5}{4} + i \frac{55}{4}, x = - \frac{5}{4} - i \frac{55}{4}

(x - 2)^{2} - 12 = 0

- 2 x^{2} - 40 = 210

9 x^{2} + 153 x = 0

10 x^{2} - 50 x = 0

4 x^{2} + 8 = - 11 x

What are the solutions to the equation 2x^2+5x+10=0 ?
The solutions to the equation 2x^2+5x+10=0 are x=-5/4+i(sqrt(55))/4 ,x=-5/4-i(sqrt(55))/4
Find the zeros of 2x^2+5x+10=0
The zeros of 2x^2+5x+10=0 are x=-5/4+i(sqrt(55))/4 ,x=-5/4-i(sqrt(55))/4