Question

If x²-y² = 6 and
= 6 and x-y= 2 find the value
of (x+y)²
​

Answer 1

7⅚ x 0

it is so simple

please do it carefully

Answer:

0.

Answer 2

Answer:

${x}^{2} - {y}^{2} = (x + y)(x - y) \\ 6 = (x + y) \times 2 \\ \frac{6}{2} = x + y \\ \boxed{ \large \underline{ \underline{ 3}} = x + y} \\ \\ x + y = 3 \\ x - y = 2 \\ - - - - - \\ 2x = 5 \\ \boxed{ \large x = \underline{ \underline{ \frac{5}{2} }}} \\ \\ x + y = 3 \\ \frac{5}{2} + y = 3 \\ y = 3 - \frac{5}{2} \\ y = \frac{6 - 5}{2} \\ \boxed{ \large y = \underline{ \underline{ \frac{1}{2}} }} \\ \\ {(x + y)}^{2} \\ = {x}^{2} + {y}^{2} + 2xy \\ = {( \frac{5}{2}) }^{2} + {( \frac{1}{2}) }^{2} + ( \cancel 2 \times \frac{5}{ \cancel 2} \times \frac{1}{2} ) \\ = \frac{25}{4} + \frac{1}{4} + \frac{5}{2} \\ = \frac{25 + 1 + 10}{4} \\ = \frac{36}{4} \\ \boxed{ \large {(x + y)}^{2} = \underline{ \underline{ 9}}}$