Solve 4x^(2)-30x-3=0

Evaluate

4 x^{2} - 30 x - 3 = 0

Substitute a= 4,b= - 30 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{30 \pm ( - 30 ) ^{2} - 4 \times 4 ( - 3 )}{2 \times 4}

Simplify the expression

x = \frac{30 \pm ( - 30 ) ^{2} - 4 \times 4 ( - 3 )}{8}

Simplify the expression

More Steps

x = \frac{30 \pm 948}{8}

Simplify the radical expression

More Steps

x = \frac{30 \pm 2 237}{8}

Separate the equation into 2 possible cases

x = \frac{30 + 2 237}{8} x = \frac{30 - 2 237}{8}

Simplify the expression

More Steps

x = \frac{15 + 237}{4} x = \frac{30 - 2 237}{8}

Simplify the expression

More Steps

x = \frac{15 + 237}{4} x = \frac{15 - 237}{4}

Solution

x_{1} = \frac{15 - 237}{4}, x_{2} = \frac{15 + 237}{4}

Alternative Form

x_{1} \approx - 0.098701, x_{2} \approx 7.598701

Solve the quadratic equation