Math, asked by pushpakkumar85, 6 months ago

if 7x-6y =30 and xy =5 ,find the value of 49x^2+36y^2

Answers

Answered by pradeepdevareddy

5

Answer:

49x² + 36y² = 480

Step-by-step explanation:

Given : 7x - 6y = 30

xy = 5

7x - 6y = 30

=> ( 7x - 6y )² = ( 30 )²

=> (7x)² + (6y)² - (2)(7x)(6y) = 900

=> 49x² + 36y² - 84xy = 900

=> 49x² + 36y² - 84(5) = 900

=> 49x² + 36y² - 420 = 900

=> 49x² + 36y² = 900 +420

Therefore , 49x² + 36y² = 480

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