Question

if (54*54)-(16*16)=20k, find the value of k​

Answer 1

Answer:

Step-by-step explanation:

Given that,

( 54*54 ) - ( 16*16 ) = 20k

⇒ ( 54 )² - ( 16 )² = 20k

⇒ ( 54 - 16 ) ( 54 + 16 ) = 20k (∵ ( a - b ) ( a + b ) = a² - b² )

⇒ ( 38 ) ( 70 ) = 20k

⇒ 2660 = 20k

⇒ k = 2660 / 20

⇒ k = 133 is the answer.