Question

If x² + y² = 26 and xy = 5, then find the value of 5(x + y)² -

5(x - y)²​

Answer 1

Answer:

Step-by-step explanation:

Using (x + y)² = x² + y² + 2xy, we have

⇒ (x + y)² = 14 + (2 x 5)

⇒ (x + y)² = 14 + (2 x 5)

⇒ (x + y)² = 24

⇒ x + y = \begin{gathered}\sqrt{24}\\\end{gathered}

24

⇒ (1/2)(x + y) = (1/2)(\begin{gathered}\sqrt{24}\\\end{gathered}

24

)

⇒ [(1/2)x + (1/2)y]² = [(1/2)(\begin{gathered}\sqrt{24}\\\end{gathered}

24

)]²

⇒ [(1/2)x + (1/2)y]² = (1/4) x 24

⇒ [(1/2)x + (1/2)y]² = 6

Step-by-step explanation:

please practice this then yu can understand this ques