Question

1. Find the value of k in (2k +4)*(2k+4) – (k - 5)2 = 26k.

Answer 1

Answer:

real solution does not exists

Answer 2

Answer: k = 5/4

Step-by-step explanation:

(2k+4)*(2k+4)–(k–5) = 26k

=> 4k² + 2*2k*4 + 4² = 26k

=> 4k² + 16k + 16 – k + 5 = 26k

=> 4k² + 15k + 16 = 26k

=> 4k² + 16 = 9k

=> 4k² – 9k = –16

=> 4k – 9 = √–16

=> 4k – 9 = –4

=> 4k = 5

=> k = 5/4