Solve t^2-16t-50=0

Evaluate

t^{2} - 16 t - 50 = 0

Substitute a= 1,b= - 16 and c= - 50 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{16 \pm ( - 16 ) ^{2} - 4 ( - 50 )}{2}

Simplify the expression

More Steps

t = \frac{16 \pm 456}{2}

Simplify the radical expression

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t = \frac{16 \pm 2 114}{2}

Separate the equation into 2 possible cases

t = \frac{16 + 2 114}{2} t = \frac{16 - 2 114}{2}

Simplify the expression

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t = 8 + 114 t = \frac{16 - 2 114}{2}

Simplify the expression

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t = 8 + 114 t = 8 - 114

Solution

t_{1} = 8 - 114, t_{2} = 8 + 114

Alternative Form

t_{1} \approx - 2.677078, t_{2} \approx 18.677078

Solve the quadratic equation