Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
1. First consider the unknown original price as 'x'.
2. Then consider the rate of discount.
3. To find the actual discount, multiply the discount rate by the original amount 'x'.
4. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.
14 = 9 - x
First, subtract 9 from both sides.
14 - 9 = (9 - 9) - x
5 = -x
Now divide both sides by -1.
5/-1 = -1/-1x
-5 = x
The answer is x = -5.
-10 is the answer to the question above.
Count the negative signs, if you get an odd number of negative signs, the product is a negative. If you get an even number of negative signs, the product is a positive.
in this case, there are two negatives, the the product is a positive number
