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Gala2k [10]
3 years ago
6

Solve the equations. a. (x − 2)^2 = 9 b. 3(x − 2)^2 = 9 c. 6 = 24(x + 1)^2

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer: a) x = 5 or -1 b) x = √3+2

c) x = -1/2 or -3/2

Step-by-step explanation:

a) (x − 2)² = 9

First step is to take the square root of both sides to eliminate the square

√ (x − 2)² = √9

x-2 = +-3

x = +3+2

x = 5 and;

x = -3+2

x = -1

x = 5 or -1

b) 3(x-2)² = 9

First we divide both sides by 3 to get;

(x-2)² = 9/3

(x-2)² = 3

Second step is to take the square root of both sides to eliminate the square

√(x-2)² = √3

x-2 = √3

x = √3+2

c) 6 = 24(x+1)²

Dividing both sides by 24, we have

6/24 = (x+1)²

1/4 = (x+1)²

Taking the square root of both sides we have

√1/4 = √(x+1)²

= +-1/2 = x+1

x = +1/2-1 = -1/2 and;

x = -1/2-1 = -3/2

x = -1/2 or -3/2

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hammer [34]

<u><em>I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.</em></u>

<u><em /></u>

-4m+2n=6

-4m+n=8

We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.

<u>First equation - second equation</u>

n=-2

<u>Then substitude back in to solve for m</u>

-4m+(-2)=8

4m=10

m=5/2

Therefore the answer is

n= - 2

m= 5/2

I hope this helped and if you have any questions please ask.

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Step-by-step explanation:

Hi,

20 - 8 = 12

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link to learning

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