Question

Compute the value of 16x2 + 25y2

if xy= 2 and 4x + 5y = 14.​

Answer 1

Answer:

$16 {x}^{2} + 25 {y}^{2} \\ = ( {4x)}^{2} + ( {5y)}^{2} \\ = ( {4x + 5y)}^{2} - 2xy \\ = {14}^{2} - 2 \times 2 \\ = 196 - 4 \\ = 192$