derivation of quadratic equation
Answers
Answer:
Deriving the Quadratic Formula
is actually derived using the steps involved in completing the square. It stems from the fact that any quadratic function or equation of the form y = a x 2 + b x + c y = a{x^2} + bx + c y=ax2+bx+c can be solved for its roots.
Answer:
is actually derived using the steps involved in completing the square. It stems from the fact that any quadratic function or equation of the form y = a{x^2} + bx + cy=ax
2
+bx+c can be solved for its roots. The “roots” of the quadratic equation are the points at which the graph of a quadratic function (the graph is called the parabola) hits, crosses or touches the x-axis known as the xx-intercepts.
So to find the roots or x-intercepts of y = a{x^2} + bx + cy=ax
2
+bx+c, we need to let y = 0y=0. That means we have
ax2 + bx + c = 0
From here, I am going to apply the usual steps involved in completing the square to arrive at the quadratic formula