Solve x^2 -4x -2=1

Evaluate

x^{2} - 4 x - 2 = 1

Move the expression to the left side

x^{2} - 4 x - 3 = 0

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

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

Simplify the expression

More Steps

x = \frac{4 \pm 28}{2}

Simplify the radical expression

More Steps

x = \frac{4 \pm 2 7}{2}

Separate the equation into 2 possible cases

x = \frac{4 + 2 7}{2} x = \frac{4 - 2 7}{2}

Simplify the expression

More Steps

x = 2 + 7 x = \frac{4 - 2 7}{2}

Simplify the expression

More Steps

x = 2 + 7 x = 2 - 7

Solution

x_{1} = 2 - 7, x_{2} = 2 + 7

Alternative Form

x_{1} \approx - 0.645751, x_{2} \approx 4.645751

Solve the quadratic equation