Solve (1/2)*x^2 - x - 10 = 0

Evaluate

\frac{1}{2} x^{2} - x - 10 = 0

Multiply both sides

2 (\frac{1}{2} x^{2} - x - 10) = 2 \times 0

Calculate

x^{2} - 2 x - 20 = 0

Substitute a= 1,b= - 2 and c= - 20 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{2 \pm ( - 2 ) ^{2} - 4 ( - 20 )}{2}

Simplify the expression

More Steps

x = \frac{2 \pm 84}{2}

Simplify the radical expression

More Steps

x = \frac{2 \pm 2 21}{2}

Separate the equation into 2 possible cases

x = \frac{2 + 2 21}{2} x = \frac{2 - 2 21}{2}

Simplify the expression

More Steps

x = 1 + 21 x = \frac{2 - 2 21}{2}

Simplify the expression

More Steps

x = 1 + 21 x = 1 - 21

Solution

x_{1} = 1 - 21, x_{2} = 1 + 21

Alternative Form

x_{1} \approx - 3.582576, x_{2} \approx 5.582576

Solve the quadratic equation