To find the equivalent of the equations U divided by V where as u(x) = x^5 - x^4 + x^2 and v(x) = -x^2, first you have to factor out the U first and came up with (x^2)(x^3-x^2+1) then divide it by -x^2 which cancel the X^2 and the answer would become -(x^3-X^2+1), i hope you are satisfied with my answer
Answer:
x = 3/2 ± 
/2
Step-by-step explanation:
4x²-12x+9 = 5
Rearrange:
4x²-12x+4 = 0
Solve using the quadratic equation:
x = 3/2 ± /2
Change the left side to improper fractions.
9
--
4
====
3
--
2
Now use the fraction rule. Invert the denominator and multiply that by the numerator.
9 2
== * ==
4 3
18/12 = 3/2 which for now is left alone.
Now work with the fraction on the right side.
1 5/6 = 11/6
Now equate the two results
27/8 = 11/6 // x/1
Simplify the right side
3/2 = 11/6 * 1 / x Remember to invert and multiply that's why you need the 1 underneath the x
3/2 = 11/6x Cross multiply
3* 6x = 11 * 2
18 x = 22
18 x = 22
x = 11/9
x = 1.2222
What are the choices or are there any? The other choice is x = 1.2222
x = 22/18 or
x = 1.22222222 or
x = 11/9
All three are possible and all three are correct and all three are equal. Since I do not have choices, I don't know which one will be acceptable.
Check
I'll do this in decimals. It is much easier.
2.25/1.5 = 1.83333333 / 1.22222222
1.5 = 1.5 so these numbers do check.
<span>To find this answer, the second value needs to be converted into an improper fraction. (-1 1/6) becomes (-7/6) when properly converted. Then, 5/6 + (-7/6) becomes the same as (5/6) - (7/6). Since both have common denominators, the numerators can simply be subtracted: (5-7) = -2. This leaves a sum of (-2/6), which can be reduced to (-1/3).</span>
Remember
√(mn)=(√m)(√n)
and
√-1=i
√-25=(√-1)(√25)=(i)(5)
aswer is +/-5i
