Algebra
This is the derivation of an equation we all know. The equation:
(1)
(2)
STEP 1, set the coefficient of the first term to one.
(3)
STEP 2, Subtract the third term from both sides:(4)
STEP 3, Take one half of the middle term, square it and add to both sides of the equation:(5)
The goal here is to get the left hand term to be a perfect square trinomial. STEP 4. Factor the left hand side of the equation.(6)
Step 5, Find the least common denominator for the right hand side:(7)
STEP 6, Take the square root of both sides:(8)
Step 7, Solve for x(9)