What are the solutions to the equation -1/2 x^2+x-2=0 ?

The solutions to the equation -1/2 x^2+x-2=0 are x=1-sqrt(3)i,x=1+sqrt(3)i

Find the zeros of -1/2 x^2+x-2=0

The zeros of -1/2 x^2+x-2=0 are x=1-sqrt(3)i,x=1+sqrt(3)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

- \frac{1}{2} x^{2} + x - 2 = 0

x = 1 - 3 i, x = 1 + 3 i

Solution steps

- \frac{1}{2} x^{2} + x - 2 = 0

Multiply both sides by

2

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

Solve with the quadratic formula

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

Simplify

2^{2} - 4 (- 1) (- 4) : 23 i

x_{1, 2} = \frac{- 2 \pm 2 3 i}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- 2 + 2 3 i}{2 ( - 1 )}, x_{2} = \frac{- 2 - 2 3 i}{2 ( - 1 )}

x = \frac{- 2 + 2 3 i}{2 ( - 1 )} : 1 - 3 i

x = \frac{- 2 - 2 3 i}{2 ( - 1 )} : 1 + 3 i

The solutions to the quadratic equation are:

x = 1 - 3 i, x = 1 + 3 i

\frac{5 a ^{2} - 9 a - 2}{a ^{2} + 4 a - 12}

x y + 2 y - 2 x - 4

\frac{4 !}{2 ! 2 !}

6 q^{2} - 13 q + 6 = 2 q^{2}

x^{2} + 5 x - 6 = 0

What are the solutions to the equation -1/2 x^2+x-2=0 ?
The solutions to the equation -1/2 x^2+x-2=0 are x=1-sqrt(3)i,x=1+sqrt(3)i
Find the zeros of -1/2 x^2+x-2=0
The zeros of -1/2 x^2+x-2=0 are x=1-sqrt(3)i,x=1+sqrt(3)i