Solve x^2-10x-21=0

Evaluate

x^{2} - 10 x - 21 = 0

Substitute a= 1,b= - 10 and c= - 21 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{10 \pm ( - 10 ) ^{2} - 4 ( - 21 )}{2}

Simplify the expression

More Steps

x = \frac{10 \pm 184}{2}

Simplify the radical expression

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x = \frac{10 \pm 2 46}{2}

Separate the equation into 2 possible cases

x = \frac{10 + 2 46}{2} x = \frac{10 - 2 46}{2}

Simplify the expression

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x = 5 + 46 x = \frac{10 - 2 46}{2}

Simplify the expression

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x = 5 + 46 x = 5 - 46

Solution

x_{1} = 5 - 46, x_{2} = 5 + 46

Alternative Form

x_{1} \approx - 1.78233, x_{2} \approx 11.78233

Solve the quadratic equation