Answer:
2
Step-by-step explanation:
So I'm going to use vieta's formula.
Let u and v the zeros of the given quadratic in ax^2+bx+c form.
By vieta's formula:
1) u+v=-b/a
2) uv=c/a
We are also given not by the formula but by this problem:
3) u+v=uv
If we plug 1) and 2) into 3) we get:
-b/a=c/a
Multiply both sides by a:
-b=c
Here we have:
a=3
b=-(3k-2)
c=-(k-6)
So we are solving
-b=c for k:
3k-2=-(k-6)
Distribute:
3k-2=-k+6
Add k on both sides:
4k-2=6
Add 2 on both side:
4k=8
Divide both sides by 4:
k=2
Let's check:
:


I'm going to solve
for x using the quadratic formula:







Let's see if uv=u+v holds.

Keep in mind you are multiplying conjugates:



Let's see what u+v is now:


We have confirmed uv=u+v for k=2.
Answer:
20. 
22. 
24. 
Step-by-step explanation:
20. 
The GCF is x, so you group it out of the equation first.

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

The two numbers would be -6 and 8. You then differentiate the squares.

22. 
The GCF is 2, so you must group it out.

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

The two numbers would be 1 and 4. Finally, differentiate the squares.

24. 
The GCF is 5m, so you must group it out.

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

The two numbers would be -1 and 7. Finally, differentiate the squares.

Answer: 14/35, -32\40, -1
Step-by-step explanation:
Answer:
what's the question here ?