There is no restriction on the domain because there is a cube root for all real values positive or negative. So you can solve this as there are no extraneous solutions...
Cube both sides...
2x-4=-8
2x=-4
x=-2
Answer:
x = 2/5 or x = -2/3
Step-by-step explanation:
y = x - 2
z = 2y = 2(x - 2) = 2x - 4
4x² = (3y - 5z ÷ 4)²
Substitute y with x - 2. Substitute z with 2x - 4.
4x² = [3(x - 2) - 5(2x - 4) ÷ 4]²
16 * 4x² = [3(x - 2) * 4 - 5(2x - 4) ÷ 4 * 4]²
64x² = [12(x - 2) - 5(2x - 4)]²
64x² = (12x - 24 - 10x + 20)²
64x² = (2x - 4)²
64x² = 4x² - 16x + 16
60x² + 16x - 16 = 0
15x² + 4x - 4 = 0
ac = 15 * (-4) = -60
-6 * 10 = -60
-6 + 10 = 4
15x² - 6x + 10x - 4 = 0
(15x² - 6x) + (10x - 4) = 0
3x(5x - 2) + 2(5x - 2) = 0
(5x - 2)(3x + 2) = 0
5x - 2 = 0 or 3x + 2 = 0
5x = 2 or 3x = -2
x = 2/5 or x = -2/3
To write in the mixed fraction you have to simply divide 8 and 4.
To right in the mixed number we need to know numerator, denominator and divisor.
So in your problem our divisor is 4,
so now lets divide it
So, now we have to write it as mixed number..
mixed number will be
Hope this helped you.. :)
Answer:
In a nutshell, 
is obtained by applying an horizontal translation on 
, followed by a vertical translation.
Step-by-step explanation:
Let be 
the parent function, is obtained by applying an horizontal translation on , followed by a vertical translation, that is:
(1)
If 
, then translation is rightwards.
If 
, then translation in downwars.
If 
and 
, then the resulting function is:
(2)
In a nutshell, is obtained by applying an horizontal translation on , followed by a vertical translation.
