Maths
posted by Jeconiah on .
Show proof of deriving the Quadratic Formula from the Quadratic Equation ax^2 + bx + c = O

factor out an a
a(x^2 + b/a) + c = 0
compete the square and don't change the value
a(x^2 + b/a + b^2/4a^2)  a(b^2/4a^2) + c = 0
a(x + b/2a)^2  b^2/4a + c = 0
(x + b/2a)^2  b^2/4a^2 + c/a = 0
(x+b/2a)^2 = (b^2  4ac)/4a^2
x + b/2a = ±√(b^24ac) / 2a
x = (b ± √(b^24ac))/2a