Solve a^2-34a-95=0

Evaluate

a^{2} - 34 a - 95 = 0

Substitute a= 1,b= - 34 and c= - 95 into the quadratic formula a = \frac{- b \pm b ^{2} - 4 a c}{2 a}

a = \frac{34 \pm ( - 34 ) ^{2} - 4 ( - 95 )}{2}

Simplify the expression

More Steps

a = \frac{34 \pm 1536}{2}

Simplify the radical expression

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a = \frac{34 \pm 16 6}{2}

Separate the equation into 2 possible cases

a = \frac{34 + 16 6}{2} a = \frac{34 - 16 6}{2}

Simplify the expression

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a = 17 + 86 a = \frac{34 - 16 6}{2}

Simplify the expression

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a = 17 + 86 a = 17 - 86

Solution

a_{1} = 17 - 86, a_{2} = 17 + 86

Alternative Form

a_{1} \approx - 2.595918, a_{2} \approx 36.595918

Solve the quadratic equation