Solve 2x^2+x-4=0 - ScanMath

Evaluate

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

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

x = \frac{- 1 \pm 1 ^{2} - 4 \times 2 ( - 4 )}{2 \times 2}

Simplify the expression

x = \frac{- 1 \pm 1 ^{2} - 4 \times 2 ( - 4 )}{4}

Simplify the expression

More Steps

x = \frac{- 1 \pm 33}{4}

Separate the equation into 2 possible cases

x = \frac{- 1 + 33}{4} x = \frac{- 1 - 33}{4}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 1 + 33}{4} x = - \frac{1 + 33}{4}

Solution

x_{1} = - \frac{1 + 33}{4}, x_{2} = \frac{- 1 + 33}{4}

Alternative Form

x_{1} \approx - 1.686141, x_{2} \approx 1.186141

Solve the quadratic equation