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Anuta_ua [19.1K]
3 years ago
7

Benjamin solved the equation 3 + x over 2 = 10 and justified each step as shown.

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0
The method of solving this equation looks fine to me and the answer is correct since 3 + x/2=10 is x/2=10-3 and so x/2 =7 and so x = 14 as shown and checking, then subsituting 14 for x then x/2=7 = 10-3 so therefore it is fine the way it is.
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Answer:

x =  - 4 \: or \: x =  - 14

Step-by-step explanation:

We have been given the equation

(x + 9) {}^{2}  = 25

and we are asked to apply the square root property of equality to our given a equation and isolate the variable

First, take the square root of both sides of our equation

\sqrt{(x + 9) {}^{2} }  =  \sqrt{25}

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<em>THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION</em>

<em>x + 9 = 5 \: then \: x =  - 4. \\ x + 9 =  - 5 \: then \: x =  - 14</em>

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Step-by-step explanation:

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