How To Proof The Quadratic Formula || Quadratic Equation
This video covers the steps involved in the derivation of the formula method of quadratic formula.
The roots of a quadratic equation ax^2 + bx + c = 0 is given by the quadratic formula
x=−b± √b^2 - 4ac / 2a
The derivation of this formula can be outlined as follows:
1. Divide both sides of the equation ax^2 + bx + c = 0 by a.
2. Transpose the quantity c/a to the right side of the equation.
3. Complete the square by adding b^2 / 4a^2 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.
I hope you like the video.
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