Answer:
25/4 will have to be added to "complete the square"
Step-by-step explanation:
x² - 5x - 18 = 0
x² - 5x = 18
Find the half of the coefficient of x and square it
(5/2)² = 25/4
Add 25/4 to both sides to complete the square
x² - 5x + 25/4 = 18 + 25/4
x² - 5x + 25/4 = 18(4/4) + 25/4
x² - 5x + 25/4 = 72/4 + 25/4
x² - 5x + 25/4 = (72+25)/4
x² - 5x + 25/4 = 97/4
(x - 5/2)² = 97/4
Find the square root of both sides
√(x - 5/2)² = ±√97/4
x - 5/2 = √97/2
x = √97/2 + 5/2 or x = -√97/2 + 5/2
x = 7.42443 or -2.42443
Answer:
3/8÷1/4=1 1/2
Step-by-step explanation:
I am not sure what you are asking here, So I am gonna explain how you divide this.
So using the KCF method (Keep Change Flip) You would KEEP the first fraction (3/8) and CHANGE the operation (from divide to multiply) then FLIP your second fraction (1/4 to 4/1)
After doing this, it should look like:
3 4
x
8 1
Now that we got that, you multiply from left to right. 3×4 is 12. 8×1=8.
That should leave you with 12/8. But this is an improper fraction. So you would divide top by bottom to get a mixed fraction.
It should look like this
01. 1 1/2
8 12
8
4
Step by step explanation:
8 only goes into 12 one time. So you would subtract 12 by 8, and get 4. From that you would get 1 4/8 but 1 4/8 can be simplified to 1 1/2.
So it is 1 1/2
Answer:
Side is 8 meters, Perimeter is 32 meters
Step-by-step explanation:
<em>One side </em>
Squares have 4 equal sides. Area is found using l*w, but the sides are all equal in squares. Therefore, the area can be found using:
a=s^2
We know the area is 64, so we can substitute that in
64=s^2
Take the square root of both sides
8=s
One side is 8 meters
<em>Perimeter</em>
Squares have 4 equal sides, and the perimeter is all the sides added up.
p=s+s+s+s
We know the side is 8, so we can substitute that in
p=8+8+8+8
p=4*8
p= 32
The perimeter is 32 meters
Answer:
x= 2.28
or, x= 0.219
Step-by-step explanation:
2x²-5x+1 =0
a= 2, b= -5 and c= 1
x= (-b <u>+</u> √(b²-4ac))/2a
= (5 <u>+</u> √(25-8))/4
= (5 <u>+</u> √17)/4
I believe it's the first one
