Answer:
Y= 5
Step-by-step explanation:
14+13Y=20Y-21
-13y -13y
14=7y-21
+21 +21
35/7=7y/7
y=5
Multiplying by 4 so 48 times 4 is 192
- 18
2- 20
= -18
Because you do the same thing just going to end up with a negative.
Answer:
x= -6
Step-by-step explanation:
3x+4= 2 (x - 1)
3x+4= 2x -2
Subtract 4 from both sides of the equation
Simplify
Subtract 2x from both sides of the equation
Simplify
= -6
Answer:
p(x) = x^12 -19x +84
Step-by-step explanation:
Adding the given equations yields ...
2·alpha = 19+5
alpha = 24/2 = 12
Then beta = 19-12 = 7
The factored form of p(x) is then ...
p(x) = (x -12)(x -7)
Multiplying this out gives ...
p(x) = x^2 -19x +84
_____
Another way to get there is to realize that ...
p(x) = x^2 -(alpha+beta)x +(alpha·beta)
The constant term can be computed from the given sum and difference as ...
alpha·beta = ((alpha+beta)^2 -(alpha-beta)^2)/4 = (19^2 -5^2)/4 = 84
Then ...
p(x) = x^2 -19x +84