Solve x^(2)-6x-3=0

Evaluate

x^{2} - 6 x - 3 = 0

Substitute a= 1,b= - 6 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 ( - 3 )}{2}

Simplify the expression

More Steps

x = \frac{6 \pm 48}{2}

Simplify the radical expression

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x = \frac{6 \pm 4 3}{2}

Separate the equation into 2 possible cases

x = \frac{6 + 4 3}{2} x = \frac{6 - 4 3}{2}

Simplify the expression

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x = 3 + 23 x = \frac{6 - 4 3}{2}

Simplify the expression

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x = 3 + 23 x = 3 - 23

Solution

x_{1} = 3 - 23, x_{2} = 3 + 23

Alternative Form

x_{1} \approx - 0.464102, x_{2} \approx 6.464102

Solve the quadratic equation