Solve x^(2)-4x-6=-0

Evaluate

x^{2} - 4 x - 6 = 0

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

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

Simplify the expression

More Steps

x = \frac{4 \pm 40}{2}

Simplify the radical expression

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x = \frac{4 \pm 2 10}{2}

Separate the equation into 2 possible cases

x = \frac{4 + 2 10}{2} x = \frac{4 - 2 10}{2}

Simplify the expression

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x = 2 + 10 x = \frac{4 - 2 10}{2}

Simplify the expression

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x = 2 + 10 x = 2 - 10

Solution

x_{1} = 2 - 10, x_{2} = 2 + 10

Alternative Form

x_{1} \approx - 1.162278, x_{2} \approx 5.162278

Solve the quadratic equation