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

The solutions to the equation 2x^2-x=-4 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4

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

The zeros of 2x^2-x=-4 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4

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2 x^{2} - x = - 4

x = \frac{1}{4} + i \frac{31}{4}, x = \frac{1}{4} - i \frac{31}{4}

Solution steps

2 x^{2} - x = - 4

Move

4

to the left side

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

Solve with the quadratic formula

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

Simplify

(- 1)^{2} - 4 \cdot 2 \cdot 4 : 31 i

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

Separate the solutions

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

x = \frac{- ( - 1 ) + 31 i}{2 \cdot 2} : \frac{1}{4} + i \frac{31}{4}

x = \frac{- ( - 1 ) - 31 i}{2 \cdot 2} : \frac{1}{4} - i \frac{31}{4}

The solutions to the quadratic equation are:

x = \frac{1}{4} + i \frac{31}{4}, x = \frac{1}{4} - i \frac{31}{4}

3 x - 7 - 2 x = - 8 x - 57 - x

\frac{( x ^{2} + 1 )}{2} \geq 3

∣ 2 - 0.2 x ∣ = 2

∣ 5 w - 15 ∣ > 5

\frac{2 z}{5} = 4

What are the solutions to the equation 2x^2-x=-4 ?
The solutions to the equation 2x^2-x=-4 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4
Find the zeros of 2x^2-x=-4
The zeros of 2x^2-x=-4 are x= 1/4+i(sqrt(31))/4 ,x= 1/4-i(sqrt(31))/4