Solve 2x^(2)-315x-630=0

Evaluate

2 x^{2} - 315 x - 630 = 0

Substitute a= 2,b= - 315 and c= - 630 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{315 \pm ( - 315 ) ^{2} - 4 \times 2 ( - 630 )}{2 \times 2}

Simplify the expression

x = \frac{315 \pm ( - 315 ) ^{2} - 4 \times 2 ( - 630 )}{4}

Simplify the expression

More Steps

x = \frac{315 \pm 31 5 ^{2} + 5040}{4}

Simplify the radical expression

More Steps

x = \frac{315 \pm 3 11585}{4}

Separate the equation into 2 possible cases

x = \frac{315 + 3 11585}{4} x = \frac{315 - 3 11585}{4}

Solution

x_{1} = \frac{315 - 3 11585}{4}, x_{2} = \frac{315 + 3 11585}{4}

Alternative Form

x_{1} \approx - 1.975228, x_{2} \approx 159.475228

Solve the quadratic equation