Question

F(x) = x^2 - 12x + 50

Answer 1

x2 = 56/a = 56/16 = 7/2

Explanation:

There are so far 8 common methods to solve quadratic equations, They are: graphing, completing the squares, quadratic formula, factoring FOIL, The Diagonal Sum Method, the Bluma Method, the popular factoring AC Method, and the new Transforming Method.

- When the quadratic equation can't be factored, the quadratic formula is the obvious choice. However, solving by formula feels like boring and repeating. In addition, school math curriculum wants students to learn, beyond the formula, a few other solving methods. That is why many quadratic equations given in problems/tests/exams are intentionally set up so that students have to solve them by other solving methods.

- When the quadratic equations can be factored, the new Transforming Method would be the best choice. It is simple, fast, systematic, no guessing, no factoring by grouping, and no solving the 2 binomials.

Answer 2

Solve for x by completing the square:

x^2 - 12 x + 50 = 0

Subtract 50 from both sides:

x^2 - 12 x = -50

Add 36 to both sides:

x^2 - 12 x + 36 = -14

Write the left hand side as a square:

(x - 6)^2 = -14

Take the square root of both sides:

x - 6 = i sqrt(14) or x - 6 = -i sqrt(14)

Add 6 to both sides:

x = 6 + i sqrt(14) or x - 6 = -i sqrt(14)

Add 6 to both sides:

Answer: |

| x = 6 + i sqrt(14) or x = 6 - i sqrt(14)

Explanation: