Solve -5j -8j^2-1

Evaluate

- 5 j - 8 j^{2} - 1

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

- 5 j - 8 j^{2} - 1 = 0

Rewrite in standard form

- 8 j^{2} - 5 j - 1 = 0

Multiply both sides

8 j^{2} + 5 j + 1 = 0

Substitute a= 8,b= 5 and c= 1 into the quadratic formula j = \frac{- b \pm b ^{2} - 4 a c}{2 a}

j = \frac{- 5 \pm 5 ^{2} - 4 \times 8}{2 \times 8}

Simplify the expression

j = \frac{- 5 \pm 5 ^{2} - 4 \times 8}{16}

Simplify the expression

More Steps

j = \frac{- 5 \pm - 7}{16}

Simplify the radical expression

More Steps

j = \frac{- 5 \pm 7 \times i}{16}

Separate the equation into 2 possible cases

j = \frac{- 5 + 7 \times i}{16} j = \frac{- 5 - 7 \times i}{16}

Simplify the expression

More Steps

j = - \frac{5}{16} + \frac{7}{16} i j = \frac{- 5 - 7 \times i}{16}

Simplify the expression

More Steps

j = - \frac{5}{16} + \frac{7}{16} i j = - \frac{5}{16} - \frac{7}{16} i

Solution

j_{1} = - \frac{5}{16} - \frac{7}{16} i, j_{2} = - \frac{5}{16} + \frac{7}{16} i

Alternative Form

j_{1} \approx - 0.3125 - 0.165359 i, j_{2} \approx - 0.3125 + 0.165359 i

Factor the expression