Solve q^3 - q1 = q^2

Evaluate

q^{3} - q \times 1 = q^{2}

Any expression multiplied by 1 remains the same

q^{3} - q = q^{2}

Move the expression to the left side

q^{3} - q - q^{2} = 0

Factor the expression

q (q^{2} - 1 - q) = 0

Separate the equation into 2 possible cases

q = 0 q^{2} - 1 - q = 0

Solve the equation

More Steps

q = 0 q = \frac{1 + 5}{2} q = \frac{1 - 5}{2}

Solution

q_{1} = \frac{1 - 5}{2}, q_{2} = 0, q_{3} = \frac{1 + 5}{2}

Alternative Form

q_{1} \approx - 0.618034, q_{2} = 0, q_{3} \approx 1.618034

Q^3 q1 = q^2