If 3x+5y=11 and xy=2, find the value of 9x2+25y2
3x+5y=11; xy=2Squaring on both sides,(3x+5y)2=(11)2⇒ (3x)2+(5y)2+2×3x×5y=121⇒ 9x2+25y2+30xy=121⇒ 9x2+25y2+30×2=121 (∵ xy=2)⇒ 9x2+25y2+60=121⇒ 9x2+25y2=121−60=61∴ 9x2+25y2=61
If 9x2+25y2=181 and xy = - 6. Find the value of 3x + 5y
If 9x2+25y2=181 and xy = - 6. Find the value of 3x + 5y.
If 3x−7y=10 and xy=−1, find the value of 9x2+49y2
Multiply 9x²+25y²+15xy+12x-20y+16 by 3x-5y-4 using suitable identity