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Brilliant_brown [7]
2 years ago
5

Solve (x-4)² = 5. A. x=9 and x = -1 B. x=-4± √√5 OC. x=4+√5 D. x-5± √√4

Mathematics
2 answers:
tatiyna2 years ago
7 0

Answer:

I don't know please don't ask me of boys

dem82 [27]2 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(x - 4)² = 5 ( take square root of both sides )

x - 4 = ± \sqrt{5} ( add 4 to both sides )

x = 4 ± \sqrt{5}

that is

x = 4 - \sqrt{5} , x = 4 + \sqrt{5}

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Let $f(x)$ be a quadratic polynomial such that $f(-4) = -22,$ $f(-1)=2$, and $f(2)=-1.$ Let $g(x) = f(x)^{16}.$ Find the sum of
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Answer:

The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is  -4273411167.501

Step-by-step explanation:

The parameters given are;

f(-4) = -22

f(-1) = 2

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g(x) = f(x)¹⁶

The function f(x) is presented as follows;

f(x) = a·x² + b·x +c

We have;

-22 = a·(-4)² + b·(-4) +c

-22 = a·16 - 4·b +c ..............(1)

2 = a·(-1)² + b·(-1) +c

2 = a - b +c...........................(2)

-1 = a·(2)² + b·(2) +c

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Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;

a = -1.5, b = 0.5, c = 4

Therefore, f(x) = -1.5·x² + 0.5·x + 4

f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;

656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.

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