What are the solutions to the equation 2x^2+15x=-34 ?

The solutions to the equation 2x^2+15x=-34 are x=-15/4+i(sqrt(47))/4 ,x=-15/4-i(sqrt(47))/4

Find the zeros of 2x^2+15x=-34

The zeros of 2x^2+15x=-34 are x=-15/4+i(sqrt(47))/4 ,x=-15/4-i(sqrt(47))/4

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2 x^{2} + 15 x = - 34

x = - \frac{15}{4} + i \frac{47}{4}, x = - \frac{15}{4} - i \frac{47}{4}

Solution steps

2 x^{2} + 15 x = - 34

Move

34

to the left side

2 x^{2} + 15 x + 34 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 2 \cdot 34}{2 \cdot 2}

Simplify

1 5^{2} - 4 \cdot 2 \cdot 34 : 47 i

x_{1, 2} = \frac{- 15 \pm 47 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 15 + 47 i}{2 \cdot 2}, x_{2} = \frac{- 15 - 47 i}{2 \cdot 2}

x = \frac{- 15 + 47 i}{2 \cdot 2} : - \frac{15}{4} + i \frac{47}{4}

x = \frac{- 15 - 47 i}{2 \cdot 2} : - \frac{15}{4} - i \frac{47}{4}

The solutions to the quadratic equation are:

x = - \frac{15}{4} + i \frac{47}{4}, x = - \frac{15}{4} - i \frac{47}{4}

5 x^{2} - 4 x = 57

14 s^{2} - 21 s = 0

4 x^{2} - 31 x - 8 = 0

3 x^{2} = 51

3 x^{2} = 64

What are the solutions to the equation 2x^2+15x=-34 ?
The solutions to the equation 2x^2+15x=-34 are x=-15/4+i(sqrt(47))/4 ,x=-15/4-i(sqrt(47))/4
Find the zeros of 2x^2+15x=-34
The zeros of 2x^2+15x=-34 are x=-15/4+i(sqrt(47))/4 ,x=-15/4-i(sqrt(47))/4