(y -3)^2 = 4y - 12
Expand.
(y-3)(y -3) = 4y - 12
y² - 6y + 9 = 4y - 12
y² - 6y -4y + 9 + 12 = 0
y² - 10y + 21 = 0
Factors are -7y and - 3y
y² - 10y + 21 = 0
y² - 3y - 7y + 21 = 0
y(y - 3) -7(y - 3) = 0
(y - 3)(y - 7) = 0
y-3 = 0 or y - 7 = 0
y = 0 + 3 or y = 0 + 7
y = 3 or 7
- Quadratic Formula:
, with a = x^2 coefficient, b = x coefficient, and c = constant
With our equation, plug in the values:

Next, solve the exponent and multiplications:

Next, solve the subtraction:

Next, factor out i (i = √-1):

Next, solve the square root:

Lastly, divide and <u>your answer is:</u>

Answer:
24 ^people because if one pizza is for 3 personnes its 8x3=24
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
1. I suppose the ODE is supposed to be

Solving for
gives

which is undefined when
. The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives

Integrate both sides. On the left, we have

where we substituted
- or
- and
- or
.

On the right, we have


So




I'll leave the solution in this form for now to make solving for
easier. Given that
, we get



and so our solution is
