Solve x^2-(\sqrt 3+1)x+\sqrt 3=0

Evaluate

x^{2} - (3 + 1) x + 3 = 0

Multiply the terms

x^{2} + (- 3 - 1) x + 3 = 0

Expand the expression

x^{2} - 3 \times x - x + 3 = 0

Factor the expression

More Steps

(x - 3) (x - 1) = 0

When the product of factors equals 0,at least one factor is 0

x - 3 = 0 x - 1 = 0

Solve the equation for x

More Steps

x = 3 x - 1 = 0

Solve the equation for x

More Steps

x = 3 x = 1

Solution

x_{1} = 1, x_{2} = 3

Alternative Form

x_{1} = 1, x_{2} \approx 1.732051

Solve the quadratic equation