How to prove the quadratic formula by completing squares
The derivation of this formula can be outlined as follows:
1.Divide both sides of the equation ax2 + bx + c = 0 by a.
2.Transpose the quantity c/a to the right side of the equation.
3. Complete the square by adding b2 / 4a2 to both sides of the equation. 4. Factor the left side and combine the right side.
5.Extract the square-root of both sides of the equation.
6.Solve for x by transporting the quantity b / 2a to the right side of the equation.
7.Combine the right side of the equation to get the quadratic formula.
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