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sdas [7]
3 years ago
10

F(x) = x3 – 13x2 + 52x – 60 Find the roots

Mathematics
1 answer:
MArishka [77]3 years ago
4 0

Answer:

The roots are 2, 5 and 6.

Step-by-step explanation:

As the last term is 60  we could see if  one root is 2:

2^3 - 13(2)^2 + 52*2 - 60

= 8 - 52 + 104 - 60

= 112 - 112 = 0

So x = 2 is one root and x - 2 is a factor.

Long multiplication:

x - 2 (x^3  - 13x^2  + 52x  - 60 ( x^2 - 11x + 30  <--- Quotient

        x^3  -   2x^2

                 -  11 x^2 + 52x

                 -  11x^2  + 22x

                                   30x - 60

                                   30x - 60

So x^2 - 11x + 30 = 0

(x - 6)(x - 5) = 0

x = 6, 5.

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Read 2 more answers
Q. A room measure 3m 55cm by 2m 25 cm. What is the perimeter of the room?
Bond [772]

Answer:

100cm = 1m

Thus, one more step should be added to your working to arrive at the final answer:

Perimeter

= 10m 160cm

= 11m 60cm

This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.

Alternative working:

Convert all the units to cm first.

\boxed{1 \: m= 100 \: cm}

Length

= 5m 55cm

= 300cm +55cm

= 355cm

Breadth

= 2m 25cm

= 200cm +25cm

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Perimeter

= 2(length +breadth)

= 2(355 cm +225 cm)

= 2(580 cm)

= 1160 cm

= 11m 60cm

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