Answer:
{3-i, 3+ i}
Step-by-step explanation:
hello : the equation is : x²-6x+10 =0
because : (3+i)²-6(3+i)+10 = 9+6i+i²-18-6i+10 =9+6i-1-18-6i+10 =0...right
same method for 3-i... (all quadratic equation have two conjugate solution)
Answer
Exponential function is in the form of :
.....[1]
where a is the initial amount and r is the growth rate and (1+r) is the growth factor.
Given the function: 
On comparing with equation [1] we have;
Initial amount(a) = 12
1+r = 1.05
Subtract 1 from both sides we get;
or 5%
Growth (r) = 0.05 or 5%
Now, evaluate the function for t = 5 we have;
Substitute the value of t=5 in the given function we have;


Therefore, the value of function when t=5 to the nearest tenth is 15.3
Answer:
Step-by-step explanation:
A difference of two perfect cubes, x^3 - y^3 can be factored into
(x-y) • (x^2 +xy +y^2) =0 equation 1
x ^3 - 64 = 0
(x)^3 - (4)^3 = 0 equation 2
Now substituting equation 2 into equation 1, we get
(x-4) (x^2+(x).(4) +(4)^2) = 0
(x-4) (x^2+4x+16) = 0
so the solutions are
1) x - 4 =0
x=4
x^2 + 4x + 16 = 0
By using the quadratic formula we get the followig solutions:
- B ± √ B2-4AC
x = ————————
2A
x =(-4-√-48)/2=-2-2i√ 3 = -2.0000-3.4641i
x =(-4+√-48)/2=-2+2i√ 3 = -2.0000+3.4641i