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patriot [66]
4 years ago
13

Study the steps shown to solve the given equation.

Mathematics
2 answers:
photoshop1234 [79]4 years ago
8 0

Answer:

The answer is -3 and 7. The extraneous solution is x = -3.

Step-by-step explanation:

marissa [1.9K]4 years ago
7 0

Answer:

a) The possible solutions are:

x=7 and x=-3

b)The extraneous solution

is x=

Step-by-step explanation:

The last step gives us the possible solutions.

(x + 3)(x - 7) = 0

By the zero product property,

x + 3 = 0 \: or \: x - 7 = 0

This implies that:

x  =  - 3 \: or \: x = 7

The original equation is

\sqrt{30 - 2x}  = x - 3

We substitute x=-3 to get;

\sqrt{30 - 2 \times  - 3}  =  - 3 - 3 \\  \sqrt{30 + 6}  =  - 6 \\  \sqrt{36} =  - 6 \\  6 =  - 6

This not true, therefore x=-3 is an extraneous solution.

We substitute x=7

\sqrt{30 - 2 \times 7}  = 7- 3 \\  \sqrt{30 - 14}  = 4 \\  \sqrt{16}  = 4 \\ 4 = 4

Therefore x=7 is the only solution.

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Step-by-step explanation:

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3 years ago
Suppose $600 is compounded yearly for 20 years. If no other deposits are made, what rate is needed for the balance to triple in
denis-greek [22]

Answer:

5.65%

Step-by-step explanation:

Principal=$600

Time=20 years

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3 5<br> Evaluate =T + 8 when r<br> 8<br> 14 and 8 = 8.
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Step-by-step explanation:

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Jasmine has taken an online boating course safety course and now completing her end-of-course exam . As she answers each questio
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Read 2 more answers
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