Solve 2x^2 - 3x - 4

Evaluate

2 x^{2} - 3 x - 4

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

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

Substitute a= 2,b= - 3 and c= - 4 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 2 ( - 4 )}{2 \times 2}

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 2 ( - 4 )}{4}

Simplify the expression

More Steps

x = \frac{3 \pm 41}{4}

Separate the equation into 2 possible cases

x = \frac{3 + 41}{4} x = \frac{3 - 41}{4}

Solution

x_{1} = \frac{3 - 41}{4}, x_{2} = \frac{3 + 41}{4}

Alternative Form

x_{1} \approx - 0.850781, x_{2} \approx 2.350781

Find the roots