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3 years ago

Evaluate 6 + \sqrt(14) + 2 - \sqrt(9) x 2 Answers are in the picture:

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Hello from MrBillDoesMath!

Answer:

10 - 3 sqrt(2)

Discussion:

Let f(x) = 6 + sqrt(14 + x) - sqrt(9x).

Then

f(2) = 6 + sqrt(14 + 2) - sqrt(9*2)

= 6 + sqrt(16) - sqrt(9*2) => sqrt(16) = 4

= 6 + 4 - sqrt(9)*sqrt(2) => sqrt(9) = 3

= 10 - 3 sqrt(2)

which is the first choice.

Thank you,

MrB

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The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

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For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

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