For health reasons, Amir wants to drink eight
1 answer:
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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