Solve r^(2 )-r-1=0

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

r_{1} = \frac{1 - 5}{2}, r_{2} = \frac{1 + 5}{2}

Alternative Form

r_{1} \approx - 0.618034, r_{2} \approx 1.618034

Show Solution

3 x^{2} + 3 y^{2} = x^{4} + y^{4} + 1 + 2 x^{2} y^{2}

Show Solution