Question

16k^2−65k+4=0 that answer is (16k-1)(k-4).how to derive​

Answer 1

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

Given :-

16k² - 65k + 4 = 0

To Find :-

How to derive

Solution :-

$\sf{16 {k}^{2} - 65k + 4 = 0} \\ \\ \sf{16 {k}^{2} - 64k - k + 4 = 0 } \\ \\ \sf{16k(k - 4) - 1(k - 4)} \\ \\ \sf{(16jk - 1)(k - 4)}$

$\huge{\boxed{\blue{\sf{Hence \: \: Proved}}}}$

Extra information :-

Factors of this equation will be

Case 1 :-

16k - 1= 0

16k = 1

k = 1/16

$\rule{200}{2}$

Case 2 :-

k - 4 = 0

k = 4