Question

If (3x-2y) =5 and xy=6, find the value of 9x² + 4y²

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Answer 1

Answer:

The answer is 97

Step-by-step explanation:

Given, (3x-2y) = 5,  xy=6

Now, 9x² + 4y²

= (3x)² + (2y)²

= (3x-2y)² + 2×3x×2y

= 5² + 12xy      [∵(3x-2y)=5]

= 25 + 12×6     [ ∵xy =6]

= 25 + 72

= 97

Answer 2

Answer:

Value of 9x² + 4y² = 75.4

Step-by-step explanation:

Given that ;

( 3x - 2y ) = 5 ----( 1 )

xy = 6

x = 6 / y ------- ( 2 )

Substitute the equation 2 in equation 1 :

3 ( 6/y ) - 2y = 5

18 / y - 2y = 5

18 - 2y = 5y

18 = 5y + 2y

18 = 7y

Hence ;

y = 18 / 7

x = 6/y

x = 6 / 18 × 7

x = 7 / 3

Proof :

7/3 × 18/7

1 / 3 × 18

= 6

9x² + 4y²

9 ( 7/3 ) ² + 4 ( 18/7 ) ²

49 + 26.4

= 75.4