DISCUSS PROVE: The Depressed Cubic The most generalcubic (third-degree) equation with
Chapter 3, Problem 107(choose chapter or problem)
DISCUSS PROVE: The Depressed Cubic The most generalcubic (third-degree) equation with rational coefficientscan be written asx3 ax2 bx c 0 (a) Prove that if we replace x by X a/3 and simplify, weend up with an equation that doesnt have an X2 term,that is, an equation of the formX3 pX q 0This is called a depressed cubic, because we havedepressed the quadratic term.(b) Use the procedure described in part (a) to depress theequation x3 6x2 9x 4 0.
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