Solve s^2 - 30s - 7 = 0

Evaluate

s^{2} - 30 s - 7 = 0

Substitute a= 1,b= - 30 and c= - 7 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{30 \pm ( - 30 ) ^{2} - 4 ( - 7 )}{2}

Simplify the expression

More Steps

s = \frac{30 \pm 928}{2}

Simplify the radical expression

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s = \frac{30 \pm 4 58}{2}

Separate the equation into 2 possible cases

s = \frac{30 + 4 58}{2} s = \frac{30 - 4 58}{2}

Simplify the expression

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s = 15 + 258 s = \frac{30 - 4 58}{2}

Simplify the expression

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s = 15 + 258 s = 15 - 258

Solution

s_{1} = 15 - 258, s_{2} = 15 + 258

Alternative Form

s_{1} \approx - 0.231546, s_{2} \approx 30.231546

Solve the quadratic equation