Question

How do you solve `2x²-17x=9`?

Answer 1

-1/2 and 9

Explanation:

Solving by the new Transforming Method (Socratic Search).
`y = 2x^2 - 17x - 9 = 0`
Transformed equation: `y' = x^2 - 17x - 18 = 0`
Method. Find the 2 real roots of y', then divide them by a = 2.
Since a - b + c = 0, use shortcut. Two real roots are: -1 and `-c/a = 18`.
Back to original equation y --> its 2 real roots are: `x1 = -1/2` and
`x2 = 18/2 = 9`.