Answer:

Step-by-step explanation:
remember the property

then u get equation with same base
The solution depends on the value of

. To make things simple, assume

. The homogeneous part of the equation is

and has characteristic equation

which admits the characteristic solution

.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be

. Then

So you have


This means


and so the general solution would be
Answer:

Step-by-step explanation:
Comparing it with quadratic equation
, we get:
a = 1 . b = 4 and c = 5
So,
Discriminant = 
D = (4)²-4(1)(5)
D = 16 - 20
D = -4
Hence,
Discriminant = -4
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3 /><h3>~AH1807</h3>
Answer:
r =
Step-by-step explanation:
r=30√12,−30√12
Let's call x the price of a box of slime.
Gianna spent 4 × $58 for art supplies so 4(58) + 8x all together. We have
392 ≤ 4(58) + 8x ≤ 472
We can work with both inequalities at once. 4(58)=232 so we subtract that from all three sides.
160 ≤ 8x ≤ 240
Divide all three sides by 8, a positive number so the inequalities don't flip.
20 ≤ x ≤ 30
Answer: Least: $20, Most: $30