Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
Answer:
<h2>x = -1</h2>
Step-by-step explanation:
ANSWER
320cm ²
STEP BY STEP
2 widths (16) should equal 32, so you should have 40cm left. Divide 40 by 2 to get one length. Length = 20, width = 16.
So to find the area, you multiply length times width. 20 x 16 = 320
The area is 320cm ²
Writing as an equation :
X = 0.475 + 0.56
Add:
X = 1.035
Answer:
1.035 is 0.475 more than 0.56
First, you multiply the number by 2, to find how many you had before you ate 1/2 of the candies.
6*2=12
Next, you would divide the number you just got, in this case it would be 12, by 3, because there is 3/4 of the original candy left
12/3=4
This means 1/4 of the original candies was 4, so you add 4 to 12 to find the final answer.
4+12=16
You had 16 candies in the beginning.
Let me know if this doesn't make sense.
