What are the solutions to the equation 2x^2+5x=-4 ?

The solutions to the equation 2x^2+5x=-4 are x=-5/4+i(sqrt(7))/4 ,x=-5/4-i(sqrt(7))/4

Find the zeros of 2x^2+5x=-4

The zeros of 2x^2+5x=-4 are x=-5/4+i(sqrt(7))/4 ,x=-5/4-i(sqrt(7))/4

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2 x^{2} + 5 x = - 4

x = - \frac{5}{4} + i \frac{7}{4}, x = - \frac{5}{4} - i \frac{7}{4}

Solution steps

2 x^{2} + 5 x = - 4

Move

4

to the left side

2 x^{2} + 5 x + 4 = 0

Solve with the quadratic formula

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

Simplify

5^{2} - 4 \cdot 2 \cdot 4 : 7 i

x_{1, 2} = \frac{- 5 \pm 7 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 5 + 7 i}{2 \cdot 2}, x_{2} = \frac{- 5 - 7 i}{2 \cdot 2}

x = \frac{- 5 + 7 i}{2 \cdot 2} : - \frac{5}{4} + i \frac{7}{4}

x = \frac{- 5 - 7 i}{2 \cdot 2} : - \frac{5}{4} - i \frac{7}{4}

The solutions to the quadratic equation are:

x = - \frac{5}{4} + i \frac{7}{4}, x = - \frac{5}{4} - i \frac{7}{4}

2 x^{2} + 5 x = - 2

x^{2} - 4 = 0

x, 6 x^{2} y + 3 x = y^{4} - 9 x y

0 = 2 x^{2} - 3 x - 5

64 x^{2} - 176 x + 121 = 0

What are the solutions to the equation 2x^2+5x=-4 ?
The solutions to the equation 2x^2+5x=-4 are x=-5/4+i(sqrt(7))/4 ,x=-5/4-i(sqrt(7))/4
Find the zeros of 2x^2+5x=-4
The zeros of 2x^2+5x=-4 are x=-5/4+i(sqrt(7))/4 ,x=-5/4-i(sqrt(7))/4