x3 + 3x2 – 5x – 15
x3 + 2x2 – 3x – 6
x3 – 3x2 – 5x + 15
x3 – 2x2 – 3x + 6
3 Answers
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1) x^3+3x^2-5x-15=0 has 3 distinct real roots:
x=-3, x=+/- 2.236068=+/-sqrt(5)
2) x^3+2x^2-3x-6=0 has 3 distinct real roots:
x=-2, x=+/- 1.732051=+/- sqrt(3)
3) x^3-3x^2-5x+15=0 has 3 distinct real roots:
x=3, x=+/-2.236068=+/-sqrt(5)
4) x^3-2x^2-3x+6=0 has 3 distinct real roots:
x=2, x=+/- 1.732051=+/-sqrt(3). Answer.
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x = √3 and again, √3 and 2??
Hence, (x - √3)(x - √3)(x - 2)...??
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