Solve x^(2)-35x-300=0

Evaluate

x^{2} - 35 x - 300 = 0

Substitute a= 1,b= - 35 and c= - 300 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{35 \pm ( - 35 ) ^{2} - 4 ( - 300 )}{2}

Simplify the expression

More Steps

x = \frac{35 \pm 2425}{2}

Simplify the radical expression

More Steps

x = \frac{35 \pm 5 97}{2}

Separate the equation into 2 possible cases

x = \frac{35 + 5 97}{2} x = \frac{35 - 5 97}{2}

Solution

x_{1} = \frac{35 - 5 97}{2}, x_{2} = \frac{35 + 5 97}{2}

Alternative Form

x_{1} \approx - 7.122145, x_{2} \approx 42.122145

Solve the quadratic equation