Solve 2-x^4-3x - ScanMath

Question

Factor the expression

- (x^{2} - x + 2) (x^{2} + x - 1)

Show Solution

x_{1} = - \frac{1 + 5}{2}, x_{2} = \frac{- 1 + 5}{2}, x_{3} = \frac{1}{2} - \frac{7}{2} i, x_{4} = \frac{1}{2} + \frac{7}{2} i

Alternative Form

x_{1} \approx - 1.618034, x_{2} \approx 0.618034, x_{3} \approx 0.5 - 1.322876 i, x_{4} \approx 0.5 + 1.322876 i

Evaluate

2 - x^{4} - 3 x

To find the roots of the expression,set the expression equal to 0

2 - x^{4} - 3 x = 0

Factor the expression

(- x^{2} + x - 2) (x^{2} + x - 1) = 0

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

x = \frac{1}{2} + \frac{7}{2} i x = \frac{1}{2} - \frac{7}{2} i x^{2} + x - 1 = 0

Solve the equation

More Steps

x = \frac{1}{2} + \frac{7}{2} i x = \frac{1}{2} - \frac{7}{2} i x = \frac{- 1 + 5}{2} x = - \frac{1 + 5}{2}

Solution

x_{1} = - \frac{1 + 5}{2}, x_{2} = \frac{- 1 + 5}{2}, x_{3} = \frac{1}{2} - \frac{7}{2} i, x_{4} = \frac{1}{2} + \frac{7}{2} i

Alternative Form

x_{1} \approx - 1.618034, x_{2} \approx 0.618034, x_{3} \approx 0.5 - 1.322876 i, x_{4} \approx 0.5 + 1.322876 i

Show Solution