Solve 13*x(x-1)=500

Evaluate

13 x (x - 1) = 500

Expand the expression

More Steps

13 x^{2} - 13 x = 500

Move the expression to the left side

13 x^{2} - 13 x - 500 = 0

Substitute a= 13,b= - 13 and c= - 500 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{13 \pm ( - 13 ) ^{2} - 4 \times 13 ( - 500 )}{2 \times 13}

Simplify the expression

x = \frac{13 \pm ( - 13 ) ^{2} - 4 \times 13 ( - 500 )}{26}

Simplify the expression

More Steps

x = \frac{13 \pm 26169}{26}

Separate the equation into 2 possible cases

x = \frac{13 + 26169}{26} x = \frac{13 - 26169}{26}

Solution

x_{1} = \frac{13 - 26169}{26}, x_{2} = \frac{13 + 26169}{26}

Alternative Form

x_{1} \approx - 5.72186, x_{2} \approx 6.72186

Solve the quadratic equation