Need Help with Solving for x? Learn How to Factor -3x^2+12x-9=0
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To solve the equation -3x^2 + 12x - 9 = 0, first divide the entire equation by -3, simplifying it to x^2 - 4x + 3 = 0. This can be factored into (x - 1)(x - 3) = 0, yielding the solutions x = 1 and x = 3. For more complex quadratic equations that are difficult to factor, the quadratic formula can be used: x = {-b ± √(b² - 4ac)} / 2a. This method provides a reliable way to find solutions for any quadratic equation.
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kurosaki69
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Homework Statement
-3x^2+12x-9=0
Homework Equations
The Attempt at a Solution
i tried to solve but I am stuck at factoring can i get a little help factoring it out.
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached.
The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter.
From my side, the only thing I could...