SOLUTION: Simplify. ^5sqrt-1/243 Divide and simplify. 7v-49/22 divided by v-7/4v Divide and simplify. v^3 divided by v^19 I came up with 1/v^16 Divide. (35b^3+18b^2+32b+35)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify. ^5sqrt-1/243 Divide and simplify. 7v-49/22 divided by v-7/4v Divide and simplify. v^3 divided by v^19 I came up with 1/v^16 Divide. (35b^3+18b^2+32b+35)       Log On


   

Question 353125: Simplify.
^5sqrt-1/243
Divide and simplify.
7v-49/22 divided by v-7/4v
Divide and simplify.
v^3 divided by v^19
I came up with 1/v^16
Divide.
(35b^3+18b^2+32b+35) divided by (5b+4)
Use the quadratic formula to solve the equation.
2x^2-3x=-6
The solution set is {??}
I came up with 3/2+isqrt15/2, 3/2-isqrt15/2
Find the following.
^14sqrt(-3)^14
I came up with 3
Any help you can give me is appreciated.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
root%285%2C%28-1%2F243%29%29
Hint:-3%5E5=-243
.
------------------------
.
Divide and simplify.
%28%287v-49%29%2F22%29%2F%28%28v-7%29%2F%284v%29%29
Hint:Dividing by a fraction is the same as multiplying by its reciprocal

.
------------------------
.
v%5E3+%2Fv%5E19+=1%2Fv%5E16 Correct
.
------------------------
.
%2835b%5E3%2B18b%5E2%2B32b%2B35%29%2F%285b%2B4%29
.
Use polynomial long division
.
.
.

          7b^2 + (-2b) +   8
        __________________________
5b + 4 | 35b^3 + 18b^2 +  32b + 35
      -  35b^3 + 28b^2
       ---------------
                -10b^2 +  32b
             -  -10b^2 -   8b
                --------------
                          40b + 35
                      -   40b + 32
                          --------
                                 3


.
------------------------
.
2x%5E2-3x=-6
2x%5E2-3x%2B6=0
The only issue is the value of the discriminant,
b%5E2-4ac=9-4%282%29%286%29=9-48=-39
The rest of the solution is correct.
(3%2F2%2Bi%2A%28highlight%28sqrt%2839%29%29%2F2%29,3%2F2-i%2A%28highlight%28sqrt%2839%29%29%2F2%29+
.
------------------------
.
root%2814%2C%28-3%29%29%5E14=3 Correct