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Gennadij [26K]
3 years ago
7

Write 6(x – 5)4 + 4(x – 5)2 + 6 = 0 in the form of a quadratic by using substitution.

Mathematics
1 answer:
pogonyaev3 years ago
6 0

We are given the equation:

6(x-5)^{4}+4(x-5)^{2}+6=0..........(1)

Now we have to write it in quadratic form using substitution.

The general form of quadratic equation is given by:

ax^{2}+bx+c=0

So let us say

(x-5)^{2}=u.......(2)

Plugging the value of (x-5)² from equation (2) in (1),

6u^{2}+4u+6=0

Answer : Option B. 6u^{2}+4u+6=0


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According to the table, Tasha initially had blank dollars before purchasing songs, and the cost of each song was blank dollars
melomori [17]

Total money before purchasing = $30

Cost of each song = $1.20

Solution:

According to the table,

No. of songs    Amount

        2                 27.60

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Difference between amount she have after bought 3 songs to 2 songs:

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Difference between amount she have after bought 4 songs to 3 songs:

26.40 – 25.20 = 1.20

So, the cost of each song = $1.20

Amount of money she had after purchasing one song = $27.60 + $1.20

                                                                                          = $28.80

Tasha initially had before purchasing songs = $28.80 + $1.20

                                                                         = $30

Hence Tasha initially had $30 before purchasing songs and the cost of each song was $1.20.

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