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

Evaluate

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

Multiply the terms

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

Expand the expression

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

Factor the expression

More Steps

(x - 2) (x - 1) = 0

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

x - 2 = 0 x - 1 = 0

Solve the equation for x

More Steps

x = 2 x - 1 = 0

Solve the equation for x

More Steps

x = 2 x = 1

Solution

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

Alternative Form

x_{1} = 1, x_{2} \approx 1.414214

Solve the quadratic equation