Solve t^2 - 40t - 400 =0

Evaluate

t^{2} - 40 t - 400 = 0

Substitute a= 1,b= - 40 and c= - 400 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{40 \pm ( - 40 ) ^{2} - 4 ( - 400 )}{2}

Simplify the expression

More Steps

t = \frac{40 \pm 3200}{2}

Simplify the radical expression

More Steps

t = \frac{40 \pm 40 2}{2}

Separate the equation into 2 possible cases

t = \frac{40 + 40 2}{2} t = \frac{40 - 40 2}{2}

Simplify the expression

More Steps

t = 20 + 202 t = \frac{40 - 40 2}{2}

Simplify the expression

More Steps

t = 20 + 202 t = 20 - 202

Solution

t_{1} = 20 - 202, t_{2} = 20 + 202

Alternative Form

t_{1} \approx - 8.284271, t_{2} \approx 48.284271

Solve the quadratic equation