Solve y^2 - 24y - 37 = 0

Evaluate

y^{2} - 24 y - 37 = 0

Substitute a= 1,b= - 24 and c= - 37 into the quadratic formula y = \frac{- b \pm b ^{2} - 4 a c}{2 a}

y = \frac{24 \pm ( - 24 ) ^{2} - 4 ( - 37 )}{2}

Simplify the expression

More Steps

y = \frac{24 \pm 724}{2}

Simplify the radical expression

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y = \frac{24 \pm 2 181}{2}

Separate the equation into 2 possible cases

y = \frac{24 + 2 181}{2} y = \frac{24 - 2 181}{2}

Simplify the expression

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y = 12 + 181 y = \frac{24 - 2 181}{2}

Simplify the expression

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y = 12 + 181 y = 12 - 181

Solution

y_{1} = 12 - 181, y_{2} = 12 + 181

Alternative Form

y_{1} \approx - 1.453624, y_{2} \approx 25.453624

Solve the quadratic equation