Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2
c=2.12 or -0.12
By <span>(x + 5/x^2 + 9x + 20) you apparently meant the following:
x+5
----------------------
x^2 + 9x + 20
and by
</span><span>(x^2-16/x-4)
x^2-16
you apparently meant ---------------
x - 4
Please use additional parentheses for clarity.
Dividing,
</span> x+5 (x-4)(x+4)
---------------------- * ---------------
x^2 + 9x + 20 x-4
Now, x^2 + 9x + 20 factors into (x+4)(x+5), so what we have now is
(x+5)(x+4)
------------------------- = 1 This is true for all x, so there are no exclusions.
(x+4)(x+5)
Answer : 4 cm
Step-by-step explanation:
Hi, the radius of a cone is the radius of its circular base.
Since we know the diameter value (8 centimeters) we have ot apply the next formula:
Diameter = radius x 2
Replacing with the values given
8 = 2r
Solving for r:
8/2=r
4=r
So, the radius of the cone is 4 centimeters.
Feel free to ask for more if needed or if you did not understand something.
<span>Turn 1 3/4 into a decimal number: 1.75
So, 120 miles in 1.75 hours, but we want to know miles in *one* hour. Divide both numbers by 1.75. 120/1.75 miles in 1.75/1.75 hour = 120/1.75 miles in 1 hour. 120/1.75 is 68.57 miles in one hour, so 68.57 mph.</span>
