Solve t^2 - 16t - 32 = 0

Evaluate

t^{2} - 16 t - 32 = 0

Substitute a= 1,b= - 16 and c= - 32 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{16 \pm ( - 16 ) ^{2} - 4 ( - 32 )}{2}

Simplify the expression

More Steps

t = \frac{16 \pm 384}{2}

Simplify the radical expression

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t = \frac{16 \pm 8 6}{2}

Separate the equation into 2 possible cases

t = \frac{16 + 8 6}{2} t = \frac{16 - 8 6}{2}

Simplify the expression

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t = 8 + 46 t = \frac{16 - 8 6}{2}

Simplify the expression

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t = 8 + 46 t = 8 - 46

Solution

t_{1} = 8 - 46, t_{2} = 8 + 46

Alternative Form

t_{1} \approx - 1.797959, t_{2} \approx 17.797959

Solve the quadratic equation