Solve w^2 - 26w - 41 = 0

Evaluate

w^{2} - 26 w - 41 = 0

Substitute a= 1,b= - 26 and c= - 41 into the quadratic formula w = \frac{- b \pm b ^{2} - 4 a c}{2 a}

w = \frac{26 \pm ( - 26 ) ^{2} - 4 ( - 41 )}{2}

Simplify the expression

More Steps

w = \frac{26 \pm 840}{2}

Simplify the radical expression

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w = \frac{26 \pm 2 210}{2}

Separate the equation into 2 possible cases

w = \frac{26 + 2 210}{2} w = \frac{26 - 2 210}{2}

Simplify the expression

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w = 13 + 210 w = \frac{26 - 2 210}{2}

Simplify the expression

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w = 13 + 210 w = 13 - 210

Solution

w_{1} = 13 - 210, w_{2} = 13 + 210

Alternative Form

w_{1} \approx - 1.491377, w_{2} \approx 27.491377

Solve the quadratic equation