Question

Describe how to derive the quadratic formula from a quadratic equation in standard form. edginuity

Answer 1

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Explanation:

Answer 2

Hello,


`ax^2+bx+c=a(x^2+ (b)/(a)x+ (c)/(a) )\\ =a(x^2+2* (b)/(2a)x +( (b)/(a) )^2- ((b)/(a) )^2+(c)/(a))\\ =a((x+ (b)/(2a) )^2- (b^2-4ac)/(4a^2) )\\ =a(x+ (b)/(2a) )^2- (b^2-4ac)/(4a)`