Answer:
The result is the well-known quadratic formula: x = (-b±√(b²-4ac))/(2a)
Step-by-step explanation:
Start with the standard form quadratic equation:
ax² +bx +c = 0
1. Divide by a
x² +(b/a)x +(c/a) = 0
2. Subtract the constant
x² +(b/a)x = -(c/a)
3. Complete the square
x² +(b/a)x + (b/(2a))² = (b/(2a))²-(c/a)
(x +b/(2a))² = (b²-4ac)/(2a)²
4. Take the square root
x +b/(2a) = ±√(b²-4ac)/(2a)
5. Subtract the constant on the left to get x by itself
x = (-b±√(b²-4ac))/(2a)
