Solve 4x ^ 2 - 23x - 15 = 0

Evaluate

4 x^{2} - 23 x - 15 = 0

Substitute a= 4,b= - 23 and c= - 15 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{23 \pm ( - 23 ) ^{2} - 4 \times 4 ( - 15 )}{2 \times 4}

Simplify the expression

x = \frac{23 \pm ( - 23 ) ^{2} - 4 \times 4 ( - 15 )}{8}

Simplify the expression

More Steps

x = \frac{23 \pm 769}{8}

Separate the equation into 2 possible cases

x = \frac{23 + 769}{8} x = \frac{23 - 769}{8}

Solution

x_{1} = \frac{23 - 769}{8}, x_{2} = \frac{23 + 769}{8}

Alternative Form

x_{1} \approx - 0.591356, x_{2} \approx 6.341356

Solve the quadratic equation