Question

6.44
12. If 3x + 5y = 11 and xy = 2, find the value of 9x2 + 25y2​

Answer 1

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9x² + 25y² = 61

Step-by-step explanation:

3x + 5y = 11

squaring both sides

(3x + 5y)² = [11]²

9x² + 30xy + 25y² = 121

9x² + 25y² = 121 - 30xy

9x² + 25y² = 121 - 30(2)         [xy = 2]

9x² + 25y² = 121 - 60

9x² + 25y² = 61

Answer 2

Answer:

Step-by-step explanation:

3x +5y=11.......(1)

xy = 2 means that x and  y are factors of 2

factors of 2 : 1 and 2

put x =2 and y=1 in 3x+5y =11

3*2+5*1=11

6+5=11

hence verified....

the value  of 9x2 + 25y2​ = 922 + 2512 = 3434