Question

if x+2y=8 and xy =2 than find the value of x2+4y2​

Answer 1

Answer:

x2+4y2=56

Step-by-step explanation:

• formula a2+b2=(x+2y)2 -4xy
• (8)2-4*2
• 64-8
• 56

Answer 2

Answer:

12

Step-by-step explanation:

Given,x+2y=8 and xy =2

x² + 4y² = x² + (2y)² ..... {Since,2²=4}

Using,(a+b)²=a²+b²+2ab;we get :

(x+2y)²=x²+(2y)²+2*x*2y

(x+2y)²=x²+4y²+2(xy)

We know, x+2y=8 and xy =2

So, (8)²=x²+4y²+2*2

x²+4y²=16-4

x²+4y²=12.

HOOE THIS HELPS U BROTHER ✌️