lesson - Effingham County Schools

... 10. Identify the roots of the equation. State the multiplicity of each root. x 3  5x 2  8x  48  0 ...

VANDERBILT UNIVERSITY MATH 196 — DIFFERENTIAL

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... Adding and subtracting the equations above: m = ½ (q + 4k2 + r/2k) and = ½ (q + 4k2 − r/2k) Whew! Now substitute and m into that m = s equation… ¼ (q2 + 4k2q + (rq)/(2k) + 4k2q + 16k4 + 2kr − (rq)/(2k) − 2kr − r2/4k2) = s or 64k6 + 32qk4 + 4(q2 − 4s)k2 − r2 = 0 (the resolvent cubic) a solvable cubic ...

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lesson - Effingham County Schools

... Identify the roots of each equation. State the multiplicity of each root. 5. x 3  2x 2  3x  0 ...