Solve 4x^2+5x+8 - ScanMath

Evaluate

4 x^{2} + 5 x + 8

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

4 x^{2} + 5 x + 8 = 0

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

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

Simplify the expression

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

Simplify the expression

More Steps

x = \frac{- 5 \pm - 103}{8}

Simplify the radical expression

More Steps

x = \frac{- 5 \pm 103 \times i}{8}

Separate the equation into 2 possible cases

x = \frac{- 5 + 103 \times i}{8} x = \frac{- 5 - 103 \times i}{8}

Simplify the expression

More Steps

x = - \frac{5}{8} + \frac{103}{8} i x = \frac{- 5 - 103 \times i}{8}

Simplify the expression

More Steps

x = - \frac{5}{8} + \frac{103}{8} i x = - \frac{5}{8} - \frac{103}{8} i

Solution

x_{1} = - \frac{5}{8} - \frac{103}{8} i, x_{2} = - \frac{5}{8} + \frac{103}{8} i

Alternative Form

x_{1} \approx - 0.625 - 1.268611 i, x_{2} \approx - 0.625 + 1.268611 i

Find the roots