Question

4) If
If x is real
show that the value of
(x-1)(x+3)/(x-2)(x+4)
cannot lie between 4/9 and 1.

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Answer 1

Answer:

(x-1)(x+3)/(x-2)(x+4)

Step-by-step explanation:

x3 + 6x2 + 5x − 12

x − 2

= 0

Factorization:

(x + 4)(x + 3)(x − 1)

x − 2

= 0

Solutions based on Jenkins–Traub algorithm:

x1 = −4

x2 = −3

x3 = 1

Extrema:

Min1 = (−3.50504, −0.204566)

Max1 = (0.083382, 6.021437)

Min2 = (3.421658, 81.183129)

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