61-2xl-9+41-2y + 6).. Simplify
2 answers:
You might be interested in
Answer:
1. 5/6
2. 7/8
3. 1/2
4. 5/4
5. 4/5
6. 5/4
7. 11/12
8. 5/2
9. 11/12
10. 2/3
11. 13/20
12. 1/12
13. 7/22
14. 7/18
15. 2/3
16. 5/12
17. 5/12
18. 3/8
Answer:
0
Step-by-step explanation:
<h3>Given</h3>- (x +
)(y +
) = 1
- (x+y)² = ?
<u>Let's make substitution as:</u>
- (x +
then
- (y +
<u>Solving the first equation for x and the second one for y:</u>
- (x +
- 1 + x² = (m - x)²
- 1 + x² = m² - 2mx + x²
- 2mx = m² - 1
- x = (m² - 1)/2m
And
- (y +
- 1 + y² = 1/m² -2y/m + y²
- 1 = 1/m² - 2y/m
- m² = 1 - 2my
- 2my = 1 - m²
- y = (1 - m²)/2m
- y = - (m² - 1)/2m
<u>Now, sum of x and y:</u>
- x + y = (m² - 1)/2m - (m² - 1)/2m = 0
<u>Therefore:</u>
- (x+y)² = 0
Answer is zero