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Aloiza [94]
3 years ago
14

The geometric mean of x+3 and 4x+1 is 2x+1. Find all possible values of x.

Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

x =   - \frac{2}{9}

Step-by-step explanation:

Since, the geometric mean of x+3 and 4x+1 is 2x+1.

Therefore, by geometric mean theorem:

{(2x + 1)}^{2}  = (x + 3)(4x + 1) \\  \\  \cancel{4 {x}^{2}}  + 4x + 1 = \cancel{4 {x}^{2}}  + x + 12x + 3 \\  \\ 4x + 1 = 13x + 3 \\  \\ 4x - 13x = 3 - 1 \\  \\  - 9x = 2 \\  \\ x =   - \frac{2}{9}

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Find the value of c that makes each trinomial a perfect square.<br> x^2-13x+c
vova2212 [387]

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169/4

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x² - 13x + c

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--<br> Choose the correct simplification of the expression -5x2(4x – 6x2 – 3).
natali 33 [55]

\huge \bf༆ Answer ༄

Let's simply ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - 5 {x}^{2} (4x - 6 {x}^{2}  - 3)

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{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - 20 {x}^{3}  + 30 {x}^{4}  + 15 {x}^{2}

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5 0
2 years ago
0.85 3/5 0.15 7/10 in order from least to greatest
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7 0
3 years ago
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Answer:

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6.5 · 3 ( 3 Windows ) = 19.5 Ft.

8 0
3 years ago
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