Question

Solve x2 = 14x – 49.

Answer 1

Subtract both sides by 14x - 49.

\(\Large \color{Black}{\Rightarrow x^2 - 14x + 49 = 0 }\)

Solve with the quadratic formula.

Answer 2

Quadratic formula is:

\(\Large \color{Black}{\Rightarrow x = {-b \pm \sqrt{b^2 - 4ac} \over 2a} }\)

Answer 3

You can also notice that it factors into a perfect square. (-7*-7=49, -7 + -7 = -14)
(x - 7)^2 = 0
Which would lead to the same answer.

Answer 4

Note that the formula applies to an equation in the form \(ax^2 + bx + c = 0\)

Answer 5

use quadratic equation. =)