Answer: x-12
Step-by-step explanation:
Simplify.
x
−
1
0
−
6
+
4
x−10−6+4
2 Collect like terms.
x
+
(
−
1
0
−
6
+
4
)
x+(−10−6+4)
3 Simplify.
x
−
1
2
x−12
X^2 + 4 = 0
Using the square root method, subtract 4 from both sides.
x^2 = -4
To clear the power of 2, take the square root of both sides.
x = + - square rot of (-4)
x = + - 2i
This is a complex answer because the radicand was a negative number.
x^2 - 6x + 1 = 0
I would use completing the square to solve this problem.
Subtract 1 from both sides.
x^2 - 6x = -1
When completing the square, take the b term (-6) and divide by 2 (-6/2= -3),
then square this number (9), add the number to both sides.
x^2 - 6x + 9 = -1 + 9
The left side is now a perfect square trinomial.
(x - 3)^2 = 8
To clear the power of 2, take the square root of both sides.
x - 3 = + - sqrt 8
add 3 to both sides and simplify sqrt 8
x = 3 + - 2sqrt2
If we let a = 9,
y(t) = A x 3^(t/9)
(i) If y(t) = 1000 a t = 0, then
1000 = A (3)^(0/a)
A = 1000
(ii) At t= 5
y(5) = 1000 (3)^(5/9)
y(5) = 1841
(iii) At y(t) = 100,000
100,000 = 1000 (3)^(t/9)
t = 37.7 years
(iv) Taking the derivative and substituting, t = 0 , and t = 10
for t = 0
dy/dt = 122 people/year
for t = 10
dy/dt = 414 people/year
Y=9(x^2+3x-x-3)
y=9(x^2+2x-3)
y=9x^2+18x-27