Question

If you have the equation (A) x^2 + 2Qx + Q^2 = 0 and the equation (B) x^2 + 6x = 0 how can you write the equation (B) in the form of equation (A)? Describe why you the change you made to (B) is mathematically sound?

Answer 1

x^2 + 2Qx + Q^2 = 0
x^2 + 6x = 0

x^2 + 2Qx + Q^2 = x^2 + 6x
x^2 - x^2 + 2Qx + Q^2 + 6x = 0
2Qx + Q^2 + 6x = 0