Solve s^2 - 24s - 7 = 0

Evaluate

s^{2} - 24 s - 7 = 0

Substitute a= 1,b= - 24 and c= - 7 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{24 \pm ( - 24 ) ^{2} - 4 ( - 7 )}{2}

Simplify the expression

More Steps

s = \frac{24 \pm 604}{2}

Simplify the radical expression

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s = \frac{24 \pm 2 151}{2}

Separate the equation into 2 possible cases

s = \frac{24 + 2 151}{2} s = \frac{24 - 2 151}{2}

Simplify the expression

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s = 12 + 151 s = \frac{24 - 2 151}{2}

Simplify the expression

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s = 12 + 151 s = 12 - 151

Solution

s_{1} = 12 - 151, s_{2} = 12 + 151

Alternative Form

s_{1} \approx - 0.288206, s_{2} \approx 24.288206

Solve the quadratic equation